Question

7th term of ap is 20 and its 13 term is 32. Find ap

Answer 1

Answer:

Hope you understand my handwriting

Answer 2

A.P. is 8,10,12,14,....

Step-by-step explanation:

Given : 7th term of AP is 20 and its 13 term is 32.

To Find : The A.P ?

Solution :

The A.P is in the form $a,a+d,a+2d,a+3d,...$

The nth term is $a_n=a+(n-1)d$

The 7th term of AP is 20.

i.e. $a+6d=20$ ....(1)

The 13th term of AP is 32.

i.e. $a+12d=32$ ....(2)

Subtract (1) from (2),

$a+12d-a-6d=32-20$

$6d=12$

$d=\frac{12}{6}$

$d=2$

Substitute in (1),

$a+6(2)=20$

$a=20-12$

$a=8$

So, the A.P form is $8,8+2,8+2(2),8+3(2),...$

A.P. is 8,10,12,14,....

#Learn more

If an AP the common difference and 7th term is 4 then find the first term

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