Answered

Join the growing community of curious minds on IDNLearn.com. Ask any question and get a detailed, reliable answer from our community of experts.

A recursive rule for an arithmetic sequence is a1 = -4; an = an - 1 + 11

What is a1?

What is d?

What is the iterative rule for the arithmetic sequence above? You do NOT need to simplify.

Find a10

Sagot :

Reinhard10158idn

Step-by-step explanation:

a1 is already defined : a1 = -4

since an = an-1 + 11, we know d (the constant being added from term to term) is 11.

d = 11

the basic iterative rule is also already defined :

an = an-1 + 11

but we can always also express this in terms of a1 :

an = a1 + 11×(n-1)

therefore,

a10 = -4 + 11×9 = -4 + 99 = 95

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Thank you for choosing IDNLearn.com. We’re here to provide reliable answers, so please visit us again for more solutions.