Question

Find the missing terms
__,38,__,__,__,-22

Answer 1

Answer:

Step-by-step explanation:

__, 38, __, __, __, -22

In this problem, we are given 2nd and 6th term.

Using formula an=a+(n−1)d, to find nth term of arithmetic progression, we get

a2=a+(2−1)d And a6=a+(6−1)d

⇒38=a+d And −22=a+5d

These are equations in two variables, we can solve them using any method. Lets solve them using substitution method.

Using equation (38=a+d), we can say that a=38−d. Putting value of a in equation (−22=a+5d), we get

−22=38−d+5d

⇒4d=−60

⇒d=−604=−15

Using this value of d and putting this in equation 38=a+d, we get

38=a−15

⇒a=53

Therefore, we get a=53 and d=−15

First term = a = 53

Third term = second term + d = 38 - 15 = 23

Fourth term = third term + d = 23 - 15 = 8

Fiftht term = fourth term + d = 8 - 15 = -7

Hope it will help you☺