Question

Find the number of terms in each of the following ap 4 9 14....254

Answer 1

Answer:

Hey, there!!!

Here, 254 is the last term of the arithmetic progression.

Using the formula:-

last term= a+(n-1)*d

common difference (d): 9-4=5

first term(a)= 4

Plugging in the values, we get-

254= 4+(n-1)*5

254=4+5n-5

254=5n-1

255=5n

n=51

Therefore 254 is the 51st term of the A.P.

Implies that the given A.P. consists of 51 terms.

Answer 2

Answer:

number of terms = 51

Explanation:

a1 = 4

a2 = 9

a3 = 14

......

t = 254

d = 5

=> t = a+(n-1)*d

=> 254 = 4+(n-1)*5

=> 250 = 5*(n-1)

=> n-1 = 50

=> n = 51

so, number of terms is 51.