Question

how many terms are in ap 7,10,13.....43

Answer 1

43=7+(n-1)3
43-7=3n-3
39=3n
n=13

there are 13 terms in this A.P...

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Answer 2

Answer:

The number of terms are 13    

Step-by-step explanation:

Given the A.P

7,  10, 13..... 43

we have to find the number of terms i.e value of n

An arithmetic sequence is a sequence of numbers where each number is addition of previous term and a constant, called the common difference.  

7, 10, 13..... 43

a=7, d=10-7=3

The recursive formula for A.P is

$a_n=a+(n-1)d$

$43=7+(n-1)3$

$43-7=3(n-1)$

$3(n-1)=36$

$n-1=\frac{36}{3}=12$

$n=12+1=13$

Hence, the number of terms are 13