Question

the sum of 2nd and 19th term of a.p. is equal to the sum of 8th, 15th and 12th term . find the term which is 0?

Answer 1

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Answer 2

Answer:

The 14th term of A.P has value 0.

Step-by-step explanation:

Given Data:

A2 = a + d

A19 = a + 18d

A8 = a + 7d

A15 = a + 14d

A12 = a + 11d

We need to find the term which is zero.

Follow the below steps to find the term.

Step 1:

A2 + A19 = A8 + A15 + A12

As per given data.

Step 2:

=>2a+19d=3a+32d

Step 3:

Simplify step 2.

=> a + 13d = 0

= > a = -13 d.

Step 4:

An= a + (n-1)d = 0.Given

= > -13d +nd –d=0

= > nd =14d

= > n = 14d / d = 14.

Therefore 14th term A.P has value 0.