Arithmetic
Arithmetic
Example 2
Write the first four terms of a sequence given that the nth term is an = 2n + 3.
Step 1. Find the first term. To find the first term, a1, substitute n = 1 into the formula and solve.
a1 = 2(1) + 3
a1 = 5
Step 2. Find the second term. To find the second term, a2, substitute n = 2 into the formula and solve.
a2 = 2(2) + 3
a2 = 7
Step3. Find the third term.
a3 = 2(3) + 3
a3 = 9
Step 4. Find the fourth term.
a4 = 2(4) + 3
a4 = 11
The first four terms of the sequence are 5, 7, 9, and 11.