Question

I need help with this assignment as soon as possible

Answer 1

Option A. arithmetic; 76

Step-by-step explanation:

Given the sequence of numbers 13, 20, 27, 34...

According to the given sequence, we can see that;

common difference = 20 - 13 = 27 - 20 = 7

Since the sequence has a common difference, this makes an ARITHMETIC SEQUENCE

The nth term of an arithmetic sequence is expressed as:

`T_n=a+(n-1)d`

a is the first term

n is the number of terms

d is the common difference

Since we need the 10th term, hence n = 10

`\begin{gathered} T_(10)=13+(10-1)(7) \\ T_(10)=13+9(7) \\ T_(10)=13+63 \\ T_(10)=76 \end{gathered}`

This shows that the sequence is an arithmetic sequence and the 10th term is 76