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If you are good at sequences in math please help I am giving more points

If you are good at sequences in math please help I am giving more points-example-1
User TedMilker
by
5.3k points

2 Answers

7 votes

Answer:

-3, -7, -23, -87, -343

Explanation:

n = 1

-3

n = 2

4(-3) + 5

-12 + 5

-7

n = 3

4(-7) + 5

-28 + 5

-23

n = 4

4(-23) + 5

-92 + 5

-87

n = 5

4(-87) + 5

-348 + 5

-343

User Goroncy
by
5.0k points
5 votes

Answer:

-3, -7, -23, -87, and -343

Explanation:

Here, we're given that the sequence is
a_n=4a_(n-1)+5, where n indicates the nth term and n - 1 indicates the (n - 1)th term.


a_1=-3, so if we want to find
a_2, we can say n = 2 and n - 1 = 1:


a_2=4a_(1)+5=4*(-3)+5=-12+5=-7

We continue to do this to find
a_3,a_4, and
a_5:


a_3=4a_(2)+5=4*(-7)+5=-28+5=-23


a_4=4a_(3)+5=4*(-23)+5=-92+5=-87


a_5=4a_(4)+5=4*(-87)+5=-348+5=-343

Thus, the first 5 terms in the sequence are:

-3, -7, -23, -87, and -343

Hope this helps!

User Joe Hyde
by
5.0k points