Question

6) Find the 100th term of the A.P. is 5, 8, 11, 14, Completing the following activity. Activity: Given A.P. 5, 8, 11, 14, Here a = 5, d = 3 = tn .. t100 = 5+ (100-1) x .. t100 = 5 + .. t100 = .. the 100th term of an A.P. is 302. ..by ​

Answer 1

a = 5 = first term

d = 3 = common difference

tn = nth term

tn = a + d(n-1)

tn = 5 + 3(n-1)

Plug in n = 100 to find the 100th term.

tn = 5 + 3(n-1)

t100 = 5 + 3(100-1)

t100 = 5 + 3(99)

t100 = 5 + 297

t100 = 302

The 100th term is 302