3 years ago

Solve each equation. 3a - 7 = 26 A=

Mathematics

1 answer:

Elanso [62]3 years ago

4 0

Answer:

a = 11

Step-by-step explanation:

One is given the following equation:

3a - 7 = 26

Use inverse operations to solve this equation:

3a - 7 = 26

(add (7) to both sides)

3a = 26 + 7

Simplify,

3a = 26 + 7

3a = 33

Inverse operations,

3a = 33

(divide both sides by (3))

a = 33 / 3

Simplify,

a = 11

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Simplify

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Step-by-step explanation:

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Read 2 more answers

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are 36 and 2304, respectively.

poizon [28]

Answer:

$a_n=9(4^{n-1})$

Step-by-step explanation:

we know that

In a <u>Geometric Sequence</u> each term is found by multiplying the previous term by a constant, called the common ratio (r)

In this problem we have

$a_2=36\\ a_5=2,304$

Remember that

$a_2=a_1(r)$ -----> $36=a_1(r)$ -----> equation A

$a_5=a_4(r)$

$a_5=a_3(r^{2})$

$a_5=a_2(r^{3})$

Substitute the values of a_5 and a_2 and solve for r

$2,304=36(r^{3})$

$r^{3}=2,304/36$

$r^{3}=64$

$r=4$

Find the value of a_1 in equation A

$36=a_1(4)$

$a_1=9$

therefore

The explicit rule for the nth term is

$a_n=a_1(r^{n-1})$

substitute

$a_n=9(4^{n-1})$

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Step-by-step explanation:

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