Question

If in an AP ,the 24th term of an AP is twice the 10th term,prove that 36th term is twice the 16th

Answer 1

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given =

a24 = 2 * a10

a + 23d = 2 * ( a + 9d )

a + 23d = 2a + 18d

5d = a ............. (1)

5d - a = 0

a36 = a + 35d

substituting (1)

a36 = 5d + 35d = 40d .......... (2)

2* a16 = 2 ( a + 15d ) 

substituting   (1)

2 * a16 = 2 ( 5d + 15d )

2* a16 = 2 * 20d

2 * a16 = 40d.......... (3)

from (2) and (3)

a36 = 2*
a16 = 40d


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Answer 2

Answer:

Answer Expert Verified

Therefore, according to the question. a36 = 40d and a16 = 20d, It is proved from above that the 36th term is twice the 16th term of the given AP.

Explanation: