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madreJ [45]
3 years ago
8

Help me ASAP!!!!!!!!

Mathematics
1 answer:
larisa [96]3 years ago
5 0

Step-by-step explanation:

a) The rule is <em><u>multiply the previous term by 6 then add 13</u></em>. So if the 1st term is n0 = -2, then the next term n1 is

n1 = 6n0 + 13

= 6(-2) + 13

= 1

n2 = 6n1 + 13

= 6(1) + 13

= 19

So the sequence goes like

-2, 1, 19

b) Now the sequence is reversed so let's write the terms as follows:

19, 1, -2

The new rule now is <em><u>subtract</u></em><em><u> </u></em><em><u>1</u></em><em><u>3</u></em><em><u> </u></em><em><u>then</u></em><em><u> </u></em><em><u>divide</u></em><em><u> </u></em><em><u>by</u></em><em><u> </u></em><em><u>6</u></em><em><u>.</u></em> You can check this as follows:

n0 = 19

n1 = (n0 - 13)/6

= (19 - 13)/6

= 1

n2 = (n1 - 13)/6

= (1 - 13)/6

= -2

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see explanation

Step-by-step explanation:

(a)

A recursive formula allows any term in the sequence to be found by adding the common difference d to the previous term.

Here d = - 4 , then recursive formula is

a_{n} = a_{n-1} - 4 with a₁ = 2

(b)

The explicit formula for an arithmetic sequence is

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