Question

find the first term of an ap whose common difference is 3 and whose 7th term is 11​

Answer 1

Step-by-step explanation:

Let First term of AP be 'a' .

here, d=3

Now, 7th term of this AP = 11

=> a+6d =11

=> a + 6×3 = 11

=> a = 11 - 18

=> a = -7

Therefore, First term of this AP is -7.

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Answer 2

Step-by-step explanation:

Given : common difference of an AP is 3 and 7th term is 11 .

To find : first term of the AP.

Solution : Let, first term of the AP is m.

Common difference of the AP ( d )=3 .

7 th term of the A P=m+(7-1) × d

=m+6 × 3

=m+18

According to question, m+18=11

Or, m=11-18=-7

Answer : Hence, first term of the AP is -7.