If the first term of an arithmetic progression is 2

and the common difference is 3 , then the ${n}^{\text{th }}$ term will be :

Question

If the first term of an arithmetic progression is 2 and the common difference is 3 , then the ${n}^{\text{th }}$ term will be :

YESPYQ · Accepted Answer

Correct answer: b) $3n-1$. We know that formula for the ${n}^{th}$ term of an A.P. ${a}_{n}=a+(n−1)d$ Where: a= first term = common difference Substitute the given values $a=2,\ d=3$ ${a}_{n}=2+(n−1)⋅3$ ${a}_{n}=2+3n−3$ ${a}_{n}=3n−1$

If the first term of an arithmetic progression is 2 and the common difference is 3 , then the \({n}^{\text{th }}\) term …

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