Question

the 4th and 7th term of an ap are 17 and 23 respectively find a 15

Answer 1

a4=17;a7=23

a4=a+3d

17=a+3d----equation 1

a7=a+6d

23=a+6d-----equation 2

solve 1 and 2

-23+17=-6d+3d

-6=-3d

d=2

a=17-3d

a=17-6

a=11

a15=a+14d

a15=11+14(2)

a15=39

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Answer 2

The 15th term of the given ap is 39.

Given,

4th term = 17.

7th term = 23.

To Find,

15th term of ap

Solution,

Let's solve the question using given details,

= 4th term of an ap is given as,

a+3d = 17.  eq(1).

= 7th term of an ap is given as,

a+6d = 23 eq(2)

On solving eq (1) and (2),

we get,

a+3d-17=a+6d-23

-3d = -6

d = 2.

Now, let's find the a,

putting value of d in eq(1),

a+3d = 17.

a+3(2) = 17

a + 6 = 17

a = 17-6

a = 11.

15th term = a+14d

Let's put the value of a and d in a + 14d

= 11 + 14(2)

= 11 + 28

15th term = 39.

The 15th term of the given ap is 39.

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