Question

The first term of an A.P. is 5, the common difference is 3 and the last term is 80;find the number of terms.

Answer 1

Answer:

The number of terms in a given A.P. is 26.

Step-by-step explanation:

Given:  

First term of an A.P. (a) = 5

common difference (d) = 3  

last term (an) =  80

 

an = a + (n - 1) d  

80 = 5 + (n - 1) × 3  

80 = 5 + 3n - 3  

3n - 3 = 80 - 5  

3n - 3 = 75

3n = 75 + 3

3n = 78

n = 78/3  

n = 26  

Number of terms , n = 26

Hence , the number of terms in a given A.P. is 26.

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Answer 2

Answer:

Number of terms in A.P. are 26