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Lelechka [254]
3 years ago
7

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

Mathematics
2 answers:
Dmitry [639]3 years ago
7 0

Answer:

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

Step-by-step 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

Nat2105 [25]3 years ago
4 0

Answer:

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

Step-by-step 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!

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