Question

find no. of terms 7,13,19...........205

Answer 1

Hey there !!

A.P. 7 , 13 , 19 , ...... , 205

a = 7

d = 13 – 7 = 6

An = 205

As we know,
An = a + (n–1) d

205 = 7 + (n–1) 6
=> 205 – 7 = (n–1) 6
=> 198 = (n–1) 6
=> n–1 = 198 / 6
=> n–1 = 33
=> n = 33 + 1
=> n = 34

Thus, total no. of terms is 34.

Answer 2

Answer:

We will get the number of terms in the given sequence to be 34.

Step-by-step explanation:

• As per the question we have to evaluate the given data.

       Given data:- 7,13,19....205.

      To find:- Find no. of terms 7,13,19...205.

       Solution:-

        For this A.P.

        a=7

        d=a2-a1=13-7=6

       Let there are n term in this A.P.

       last term is 205

       We know that

      205= a+(n-1)d

      $205=7+(n-1)6\\198=(n-1)6\\33=(n-1)\\n=1+33\\n=34$

     Therefore given series has 34 terms in it,