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Can anyone help with #2? I’m not sure if I’m right. Please don’t just guess the answer for free points.

Can anyone help with #2? I’m not sure if I’m right. Please don’t just guess the answer-example-1
User Shig
by
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2 Answers

5 votes

Answer:

-1, 2, 8, 20, 44

Explanation:

User Onegray
by
7.8k points
6 votes

Answer:

The first five terms for given recursive formula are -1, 2, 8, 20, 44.

Explanation:

Given:


a_1 = -1

The recursive formula given is;


a_n=2(a_(n-1))+4

Now we will find the first five terms using above formula.

We know the first term hence we find rest of the term.

when n=2;


a_2 = 2(a_(2-1))+4\\a_2=2(a_1)+4\\a_2=2*-1+4\\a_2= -2+4\\a_2=2

when n=3;


a_3 = 2(a_(3-1))+4\\a_3=2(a_2)+4\\a_3=2* 2+4\\a_3= 4+4\\a_3=8

when n=4;


a_4 = 2(a_(4-1))+4\\a_4=2(a_3)+4\\a_4=2* 8+4\\a_4= 16+4\\a_4=20

when n=5;


a_5 = 2(a_(5-1))+4\\a_5=2(a_4)+4\\a_5=2* 20+4\\a_5= 40+4\\a_5=44

Hence the first five terms for given recursive formula is -1, 2, 8, 20, 44.

User Voddan
by
7.9k points

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