Question

Which term of the arithmetic progression 7, 12, 17, 22, ... Will be 82 ? Is 100 any term of the
a.P. ?

Answer 1

Answer:

16 th term will be 82

And 100 is not the term of AP

Step-by-step explanation:

a=7                   d=5

$a_{n}$=82

a+(n-1)d=82

7+(n-1)5=82

(n-1)5=82-7

(n-1)5=75

n-1=15

n=15+1

n=16

$a_{n}$=100

a+(n-1)=100

7+(n-1)5=100

(n-1)5=100-7

(n-1)5=93

n-1=$\frac{93}{5}$

n=$\frac{93}{5} + \frac{5}{5}$

n=$\frac{98}{5}$

Since n is fraction which is not possible therefore 100 is not any term of the AP