Mathematics, 31.12.2019 23:31 milan44

Find an equation for the nth term of the arithmetic sequence.
-15, -6, 3, 12,

Answers: 3

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Answer from: khyjah74

The nth term of AP is calculated as a_n=9n-24

Step-by-step explanation:

Given : An arithmetic sequence -15, -6, 3, 12, ...

We have to find the nth term of the given arithmetic sequence -15, -6, 3, 12,..

Consider the given arithmetic sequence -15, -6, 3, 12, ...

Here, $a_1=-15\ ,a_2=-6\ ,a_3=3$

We first find the common difference (d)

Common difference can be find by finding difference between two successive terms of given arithmetic sequence.

$a_2-a_1=-6+15=9\\\\ a_3-a_2=3+6=9$

Thus, common difference of given AP is 9

Thus, The equation to find the nth term of AP is calculated as,

a_n=a+(n-1)d

Substitute a = -15 , d = 9 , we get,

$a_n=-15+(n-1)9\\\\ a_n=-15+9n-9\\\\ a_n=9n-24$

Thus, the nth term of AP is calculated as a_n=9n-24

Answer from: noathequeen

aₙ = 9n - 24 is the nth term of arithmetic sequence.

Step-by-step explanation:

we have given arithmetic sequence:

-15, -6, 3, 12, ...

we have to find the nth term of the arithmetic sequence.

consider the given arithmetic sequence -15, -6, 3, 12, ...

here a₁= -15 , a₂= -6 ,a₃ = 3,

we first find the common difference between consecutive terms (d).

common difference can be find by finding difference between two successive terms of give arithmetic sequence -15, -6, 3, 12, ...

a₂ - a₁ =( - 6 ) - ( - 15) = 9

a₃ - a₂ = ( 3 ) - ( - 6 ) = 9

hence common difference of given arithmetic sequence is 9.

thus the formula to find the nth term of arithmetic sequence is given below

aₙ = a +( n - 1 ) d

putting a = -15 , d = 9 we get

aₙ = ( -15 ) + ( n-1 ) 9

aₙ = - 15 + 9n - 9

aₙ = 9n - 24 this is the nth term of arithmetic sequence.

Answer from: Quest

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?

Find the value of each variable. write the answer in simplest radical form.

Answer from: Quest

600,000,000,000, or 6e14

step-by-step explanation:

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Find an equation for the nth term of the arithmetic sequence.
-15, -6, 3, 12,...