SOLUTION: in a certain ap the 32nd term is twice the 12th term prove that 70th term is twice the 31st term

Algebra.Com
Question 1019525: in a certain ap the 32nd term is twice the 12th term prove that 70th term is twice the 31st term

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
The usual formula for the nth term of an AP is . For the purpose of proving the statement, we use the alternative formula
, where k = 1, 2, 3, ...., n-1.
We are also given that
Using this formula,
,
and the statement is proved.

RELATED QUESTIONS

The 31st term of an AP whos first two terms are respectivly -2 and -7... (answered by Fombitz)
Find the 31st term in the sequence whose general term is an = -3 + 4(n -... (answered by richwmiller)
Find the 31st term in the sequence whose general term is an = -3 + 4(n -... (answered by richwmiller)
The 4th term of an AP is zero. Prove that the 25th term of the A.P. is three times the... (answered by Fombitz)
the 12th term of an A.P is -41. given that the first term is 3,find the 20th... (answered by josgarithmetic,ikleyn)
The 12th term of an A.P is -41 given that the first term is 3 find the 20th... (answered by ikleyn)
The third term of an A.P. is 4 more than twice the first term. The 8th term is 4 less... (answered by Edwin McCravy)
The sum of an AP is 4 and d first term is twice the third term of a GP,find (I)the 23rd... (answered by ikleyn)
Find the 12th term of a Geometric Sequence whose 3rd term is 432 and the 5th term is... (answered by MathLover1,greenestamps,ikleyn)