Question

ap in an AP the common difference D and 7 term is 4 find the first term

Answer 1

Hey friend, Harish here.

Here is your answer:

Given that,

Common difference (d) = 4

7th term of AP = 4.

To find,

The first term of AP (a).

Solution:

We know that,

$S_7 = (a +6d)$

⇒  $4 = a + (6\times 4)$

⇒  $a = -24 + 4 = -20.$

Therefore the first term of the AP is -20.
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Hope my answer is helpful to you.

Answer 2

Hi!
Here is your answer.

Common difference(d) = 4

t7 = 4............(1)

We know that,
t7 = a + 6d.............(2)
From (1) & (2)

a + 6d = 4
a + 6(4) = 4.................(d = 4)
a + 24 = 4
a = 4 - 24
a = - 20

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Final Answer:
The first term of the given A.P is - 20.
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☺◆Hope this Helps◆☺