Question

The 7th term of an A.P. is 20 and its 13th term is 32. Find the 50th term.​

Answer 1

Answer:

Hello!

Here is ur answer

Let a be the first term and d be the common difference.

Now,

According to the question,

a + 6d = 20....... (1)

a + 12d = 32..... (2)

Now, from both the equation

Subtract (2) from (1)

6d = 12

d = 2

Now,

a + 6d = 20

a = 8

Now,

a + 49d = 100

So, 50th term is 100

Answer 2

Answer:

a+6d=20......(i)

a+12d=32.....(ii)

6d=12

d=2

a+6d=20

a+6×2=20

a+12=20

a=20-12=8

50th term=a+(n-1)d

=8+(50-1)2

=8+49×2

=8+98

=106