Question

in the ap given below, find the common difference. 1,a,b,c,9​

Answer 1

Answer:

common difference, d = 2

Step-by-step explanation:

1,a,b,c,9

a_1 = 1

a_n = 9

n = 5 (number of terms)

common difference, d = (a_n - a_1) / (n-1)

d = (9 - 1) / (5 - 1) = 8 / 4 = 2

d = 2

Genral formula,

a_n = a_1 + (n-1)d

n=2

a_2 = 1 + (2-1)2 = 1 + 2 = 3

n=3

a_2 = 1 + (3-1)2 = 1 + 4 = 5

n=4

a_2 = 1 + (4-1)2 = 1 + 6 = 7

Hence,

1,a,b,c,9

1,3,5,7,9