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
find the sum of the sequence 2,22,222,.......to n terms
Find the sum to n terms of the series :- 5 + 11 + 19 + 29 + 41 +..........
If the 5th term of an A.P. is 1/10 and the 10th term is 1/5 then find the 50th term of an A.P.
Find the sum of integers from 1 to 100 that are divisible by 2 or 5.
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
The third term of a GP is 4 , find the product of its first five terms .
( answer = 1024 )
The sum of squares of the first n natural numbers is given by to prove it why we are taking cubes its squares right
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.
For what values of k,the numbers ... 1+k,5/6 + k,13/18 + k are in G.P.
The sum of 11 terms of an AP whose middle term s 30 is
(1) 320 (2)330 (3)340 (4)350
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
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.
Evaluate 3. 31/2 . 31/4 . 31/8 . ................... upto infinity.
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.
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