Could someone please help me with this math question?

Question

0

2389

2

+105

What is the recursive rule for the sequence?
−2.7, −8.3, −13.9, −19.5, −25.1, ...

A) an = an + 1 − 5.6, where a1 = −2.7

B) an = an − 1 + 5.6, where a1 = −2.7

C) an = an − 1 − 5.6, where a1 = −2.7

D) an = an + 1 + 5.6, where a1 = −2.7

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Thanks to anyone who helps!

Jaleco Mar 10, 2018

CPhill · Answer 1 · 2018-03-10T07:59:44

C) a_n = a_{n − 1} − 5.6, where a₁ = −2.7

Note that we are subtracting 5.6 from a previous term to get the successive term

So

Second term = -2.7 - 5.6 = -8.3

Third term = -8.3 - 5.6 = -13.9 ....etc.