Question

Find the number of terms 5,8,11,14,17......44?

Answer 1

Given :

• A.P = 5 , 8 , 11 , ........ 44

• First term ( a ) = 5

• Common difference ( d ) = 3

• Last term ( An ) = 44

To Find :

• Number of terms in given A.P

Solution :

★ An = a + ( n - 1 ) d ★

→ 44 = 5 + ( n - 1 ) 3

→ 44 - 5 = ( n - 1 ) 3

→ 39 = ( n - 1 ) 3

→ 39 / 3 = n - 1

→ 13 = n - 1

→ n = 13 + 1

→ n = 14

Given A.P has 14 terms

Answer 2

Answer:

no. of terms=14

Step-by-step explanation:

a=5,d=3,l=44

Tn=44

a+(n-1)d=44

5+(n-1)3=44

3n-3=44-5

3n-3=39

3n=42

n=14