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if a2, b2,c2 are in a A.P .then prove that the following are also in A.P (i) 1/b+c ,1/c+a ,1/a+b (ii) a/b+c , b/a+c ,c/b+a
Q3.A person was drawing a monthly salary of Rs 2500 in 11th year of servce and a salary of Rs 2900 in the 19th year. Given that pension is half the salary at retirement time, find his monthly pension if he had put in 25 years of service before retirement. Assume that annual increment is constant.
Find the sum to n terms of the series :- 5 + 11 + 19 + 29 + 41 +..........
Find the sum of integers from 1 to 100 that are divisible by 2 or 5.
If a constant is multiplied to each term of an A.P., the resulting sequence will also be an A.P.
If a constant is divided from each term of an A.P., the resulting sequence will also be an A.P.
This is written in the study material but in these two cases the common difference is not constant then how these are A.P. PLZ. ANS. FAST...
a thief runs away from a police station with a uniform speed of100 m per min. after a minute a policeman runs behind him to catch. he goes at a speed of 100 m in 1st min and increases his speed by 10 m each succeeding min. after how many min, the policeman catch the thief?
If the pth, qth and rth terms of a GP be a, b, c respectively, prove that
where ^=raised to the power
if sum of 40 A.Ms between two numbers is 120,find the sum 50 AMs between them.
The third term of a GP is 4 , find the product of its first five terms .
( answer = 1024 )
If a2, b2, c2, are in AP, then show that a/b+c, b/c+a, c/a+b are in AP.
if (m+1)th term of an AP is twice the n+1th term, prove that (3m+1)th term is twice the (m+n+1)th term.
please answer ASAP, exam tmrw.
If 7 times the 7th term of an A.P. is equal to 11 times the 11th term,show that 18th term of A.P. is 0.
Find the sum of 30th term of the sequence 7, 7.7, 7.77, 7.777..................
The sum of 11 terms of an AP whose middle term s 30 is
(1) 320 (2)330 (3)340 (4)350
Sum: a+b/2,a,3a-b/2,.... to 21 terms
Sum the series: 1+3+7+15+31+............to n terms.
If a, b , c are in G.P, and x, y be the arithmetic means of a, b and b, c respectively, prove that (i) a/x+c/y=2 (ii)1/x + 1/y= 2/b
If first term ,second , and last term of an A.P be a ,b , c, respectively . Then show that the sum is
(b+c-2a) (a+c) / 2(b-a) .
how many terms of the sequence 18,16,14......should be taken so that their sum is zero.
if pth, qth, rthand sth terms of an A.P. are in G.P.,show that (p-q),(q-r) and (r-s) are also in G.P.
If a, b,
c, d are in G.P, prove that
are in G.P.
For what values of k,the numbers ... 1+k,5/6 + k,13/18 + k are in G.P.
find the sum of integers from 1 to 100 that are divisible by 2 or 5?
prove that:2^1/4 . 4^1/8 . 8^1/16............upto infinity=2
the sum of the series 24,3,8,1,3,7...to 8 term is
b) 36 [13/30]
c) 36 1/9
d) none of these .
The sum of three numbers in G.P. is 21 and the sum of their squares is 189. Find the numbers.
let x=1+a+a2+.............. y=1+b+b2+.......... thn prove that
Find the sum of the series 2+11+101+1001+… to n terms.
If the pth,qth terms of a G.P. are q,p respectively ,show that (p+q)th term is (qp/pq)1/p-q
Find the sum of all
natural numbers lying between 100 and 1000, which are multiples of 5.
In an A.P.,s3=6,s6=3,prove that 2(2n+1)Sn+4=(n+4)S2n+1.
Find the sum tonterms of the sequence, 6, 66, 666, 6666…
If 1/a, 1/b, 1/c are in AP, prove that (i) b + c / a, c +a / b, a + b / c are in AP (ii) a(b +c), b (c +a), c ( a + b) are in AP
prove that the sum to n terms of the series 11+103+1005+.......... is 10 / 9 (10to the power n - 1)+n (sq).
If in an A.P., Sn= n2p and Sm=m2p, then Sp=?
If 1/a2,1/b2,1/c2 are in H.P. ,then prove that (b+c),(c+a),(a+b) are also in H.P.
1+(1+2)+(1+2+3)+(1+2+3+4)... find the sum of the series
find the sum of the following series 9+16+29+54+103+.........upto n terms.
please explain each and every step.
Here is the link for the answer similar to your query.
FIND FOUR NUMBERS IN AP WHOSE SUM IS 20 &SUM OF WHOSE SQUARES IS 120
The difference between any two consecutive interior angles of a polygon is 5°.If the smallest angle is 120°, find the number of the sides of the polygon.
the sum of 4 numbers in a.p is 40 and the product of their extremes is 91.the number are
In the arithmetic progression 2,5,8....upto 50 terms,and 3,5,7,9....upto 60 terms ,find how many pairs are identical and find the identical pairs.
three numbers are in A.P. and their sum is 15 , if 1, 4 and 19 are added to these numbers respectively the resulting numbers are in G.P.. find the numbers.
The sum of an infinite number of terms of GP is 4 and the sum of their cubes is 192. Find the series.
The sum of first two terms of an infinite G.P. is 5 and each terms is three times the sum of the succeeding terms. Find the G.P.
Find the sum of indicated number of terms .7,.07,.007,......;100 terms
if x1,x2,x3 ....xn are in H.P then prove that x1x2+x2x3+x3x4+....+xn-1xn =( n-1)x1xn
the sum of three numbers in GP is 56. if we subtract 1, 7, 21 from these numbers in that order, we obtain an AP. find the numbers.
find the sum of first 24 term of the A.P., if a1+a5+a10+a15+20+a25=225
If one A.M., A and two geometric means G1 and G2 inserted between any two positive numbers,show that G12/ G2 + G22/ G1 = 2A.
-17.a1, a2 ,a3, a4, a5, a6, a7,a8, a9, a10,27a= -17
how a12 = 27 ???plzz answer this question as soon as possible.....
if in a gp the (p+q)th term is a and (p-q)th term is b , prove that the pth term is sqrt (ab).
pth term of an A.P. is 'a' and qth term is 'b'. prove that sum of (p+q)th term is p+q/2[a+b+(a-b/p-q)]. plz ans needed soon.....
Let S be the sum, P be the product and R be the sum of reciprocals of n terms in a G.P. Prove that P2Rn = Sn
Let c and b be the roots of x2-6x-2=0 (cb). If
an=cn-bn where (n=1)
then a10-2a8/2a9 =
sum of an infinite gp is 57 and sum of their cube is 9747 find the gp
let x=1+a+a^2........ and y=1+b+b^2..... , where modulus(a)
please i have a test tommorow.....!!
Prove that a,b,c are in A.P. iff 1/bc,1/ca,1/ab are also in A.P.
In the A.P. whose common difference is non-zero, the sum of first 3n terms is equal to the sum of next n terms. Then the ratio of the sum of the first 2n terms to the nwxt 2n terms is how much?
1.If the AM ,GM and HM of the first and last terms of the series 25,26,27,.....N-1,N are the terms of the series,find the value of N?
2.The sum of all possible products of the first 'N' natural numbers taken two bu two is:
d) none of these
where this chapter is used in real life?
If p , q, r are in G.P and the equation px^2 + 2qx + r = 0 and dx^2 + 2ex + f = 0 have a common root , then show that d/p , e/q , f/r are in A.P.
The sum of the infinite G.P is 15, Sum of squares of 3 terms of the g.p is 45. Find the series.
Find the sum of sequence, 7, 77, 777, 7777..... to n terms ???
plz ans fast....
its very urgent
5+55+555...n terms. Change this term into G.P. then find the sum of this series?
If (a1,a2,a3......an) are in A>P> with common difference d. then the sum of the series: sin d [cosec a1.cosec a2 + cosec a2.cosec a3 +........+ cosec a(n-1).cosec an ] is what ??
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