Question

An AP consists of 50 terms out of which 3rd term is 12 and last term is 106. Find the 9th
term.​

Answer 1

Answer:

24

Step-by-step explanation:

Given that

T3 = 12.

means

a+ ( 3-1)d=12

a+2d= 12 ......(1)

and last term , T50=106

means a+ (50-1)d= 106.

a+49d = 106. ..........(2)

subtract (2) from (1).

then

47d= 94

d = 94/47

d= 2............ (3)

put in (1)

a+2×2=12

a+4=12

a = 12-4

a=8............

then

T9= 8 + (9-1)2

T9 = 8+8×2

T9= 24********

Answer 2

Answer:

The answer is in the attachment.