Question

Can someone help me find out what’s the nth formula equation

Answer 1

Part (a)

This sequence is arithmetic because we are adding 4 to each term to get the next term. Nice work on getting the correct answer here.

To get the nth term of an arithmetic sequence, we'll use the formula below

an = a + d(n-1)

In this case, a = 14 is the first term and d = 4 is the common difference

So we have these steps

an = a + d(n-1)

an = 14 + 4(n-1)

an = 14 + 4n - 4

an = 4n + 10

Answer: 4n + 10

============================================

Part (b)

This sequence is geometric since we multiply each term by 4

The common ratio is r = 4 and the start term is a = 2.

So the nth term is....

an = a*(r)^(n-1)

an = 2*(4)^(n-1)

Answer: 2*(4)^(n-1)