Question

this question has two parts. first, answer part a. then, answer part b. part a a. find the common difference of the arithmetic sequence. 0.02, 1.08, 2.14, 3.2, ... part b b. find the next three terms.

Explanation:

Step1: Calculate common difference

$d = 1.08 - 0.02 = 1.06$

Step2: Verify common difference

$d = 2.14 - 1.08 = 1.06$, $d = 3.2 - 2.14 = 1.06$

Step3: Find 5th term

$a_5 = 3.2 + 1.06 = 4.26$

Step4: Find 6th term

$a_6 = 4.26 + 1.06 = 5.32$

Step5: Find 7th term

$a_7 = 5.32 + 1.06 = 6.38$

Answer:

a. $1.06$
b. $4.26$, $5.32$, $6.38$