Question

in an ap the frist term is 1 amd the common difference is 4 find the sun of how many times is 19900​

Answer 1

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Asked on December 26, 2019 by

Armani Pàgarē

First term of an AP is 4 and the common difference is 3. Its 12th term is same as the 8th term of another AP having first term −5. Find the common difference of the second AP.

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ANSWER

We have,

In first A.P.

a=4 (first term)

d=3 (common difference)

n=12 (12

th

term)

In second A.P.

a=−5 (first term)

d=? (common difference)

n=8 (8

th

term)

Now, According to given question.

12

th

term of the A.P=8

th

term of IInd A.P.

a

12

=a

8

a+(12−1)d=a+(8−1)d

4+11×3=−5+7d

33+4=−5+7d

37+5=7d

7d=42

d=6

Hence, the common difference of IInd A.P=6

This is the answer.