Question

Consider the sequence {3,6,9,12,15,…}. Find n if an = 735. Show all steps including the formulas used to calculate your answer.

Answer 1

Answer:

n = 245

Step-by-step explanation:

The given sequence is 3,6,9,12,15,…

nth term of the AP is 735

We know that, the nth term of an AP is given by :

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

d is common difference, d = 6-3 = 3

Put all the values to find n.

$735=3+(n-1)3\\\\732=(n-1)3\\\\\dfrac{732}{3}=n-1\\\\n=244+1\\\\n=245$

So, there are 245 terms in the sequence.