Question

8. The number of terms in 7, 13, 19, .....
205 is
O (a) 34
O (b) 4
O (c) 43
O (d) 6​

Answer 1

Answer:

Step-by-step explanation:

Given sequence is 7,13,19,...,205

The first term a=7 and

the common difference d=13−7=6

the last term is 205

Let the last term be the n

th

term

We know that the n

th

term of the arithmetic progression is given by a+(n−1)d

Therefore, a+(n−1)d=205

⟹7+(n−1)×(6)=205

⟹7−6+6n=205

⟹1+6n=205

⟹6n=205−1

⟹n=

6

204

​

⟹n=34

Therefore, the number of terms in the given sequence is 34