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](https://tex.z-dn.net/?f=a_n%3Da%2B%28n-1%29d)
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](https://tex.z-dn.net/?f=735%3D3%2B%28n-1%293%5C%5C%5C%5C732%3D%28n-1%293%5C%5C%5C%5C%5Cdfrac%7B732%7D%7B3%7D%3Dn-1%5C%5C%5C%5Cn%3D244%2B1%5C%5C%5C%5Cn%3D245)
So, there are 245 terms in the sequence.