Question

Is the term 344 belongs to the AP-5,2,9..

Answer 1

The term 344 does not belong to the given AP.

• The given series is -5,2,9,.....

• In the above given series, first term (a) is -5.

• Common difference (d) = 2-(-5) = 7

• Now we have to find whether the term 344 belongs to the given AP or not.

• We have formula to find the $n^{th}$ term of AP.

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

• Now substituting t_n = 344 and evaluating n, if n comes out ot be an integer then the number belongs to the AP else it does not belong to AP.

344 = -5  + (n-1)7

349 = (n-1)7

49.85 = n-1

n = 50.85

• As n is not an integer, the number does not belong  to the given AP.