Question

Please answer this question guys!!!
Is 309 is a term of the ap 3 8 13? ​

Answer 1

Answer

Given sequence is 3,8,13,...

The first term a=3 and

the common difference d=8−3=5

Let the nth term be 302

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

Therefore, a+(n−1)d=302

⟹3+(n−1)∗(5)=302

⟹3−5+5n=302

⟹−2+5n=302

⟹5n=304

⟹n=5304

Answer 2

Step-by-step explanation:

Given sequence is 3,8,13,...

The first term a=3 and

the common difference d=8−3=5

Let the n

th

term be 302

We know that the n

th

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

Therefore, a+(n−1)d=302

⟹3+(n−1)∗(5)=302

⟹3−5+5n=302

⟹−2+5n=302

⟹5n=304

⟹n=

5

304

n cannot be a fraction. Therefore, 302 is not the term of the given A.P.