Question

The first term in a sequence is 5. Each term is found by adding 2 to the previous term. What is the 7th term of the sequence?

Answer 1

SOLUTION

Step 1:

We are to find the 7th term of the sequence whose first term is 5 and common difference is 2.

Step 2:

We make use of this formula;

$T_n\text{ = a + (n-1)d}$

Where a is the first term, n is the number of terms and d is the common difference.

Step 3:

So, a = 5, d = 2 and n = 7

$\begin{gathered} T_n\text{ = a + (n - 1)d} \\ T_7\text{ = 5 + (7-1) 2} \\ T_7_{}\text{ = 5 + 2(6)} \\ T_7\text{ = 5 + 12} \\ T_7\text{ = 17} \end{gathered}$

CONCLUSION:

The 7th term of the sequence whose first term is 5 and each term is found by adding 2 to the previous term is 17.