Question

Determine whether the sequence is arithmetic. If so, identify the common difference 11, 10.2, 9.4, 8.6, 7.8, …

Polynomial arithmetic
ANSWERED
asked 2021-02-23
Determine whether the sequence is arithmetic. If so, identify the common difference 11, 10.2, 9.4, 8.6, 7.8, …

Answers (1)

2021-02-24
Step 1
For a sequence to be an arithmetic progression it must follow the common difference procedure as.
\(a, b, c, d, e, .....\)
\(b - a = c - b = d - c = e - d =....\)
Step 2
For the given sequence, check whether it follows the common difference as suggested above.
\(11, 10.2, 9.4, 8.6, 7.8,....\)
\(10.2 - 11 = -0.8\)
\(9.4 - 10.2 = -0.8\)
\(8.6 - 9.4 = -0.8\)
\(7.8 - 8.6 = -0.8\)
Step 3
As it follows the common difference procedure therefore it can be concluded that the given sequence is an arithmetic sequence and common difference ‘d’ is calculated to be as.
\(d = 10.2 - 11\)
\(= -0.8\)
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