Write the explicit formula for the arithmetic sequence.

Mathematics

1 answer:

Ratling [72]3 years ago

3 0

Answer:

an = 9n -16

Step-by-step explanation:

First find the common difference, d

Take the second term and subtract the first

2 - (-7) = 2+7 = 9

We are adding 9 each time

Check 2+9 =11, check 11+9 = 20 check

The first term in the sequence is a1 so a1 =-7

an = a1 + d(n-1)

an = -7 + 9(n-1)

Distribute

an = -7 +9n-9

Combine like terms

an = 9n -16

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3 years ago

How do I solve -2m=16m-9

Brums [2.3K]

-2m = 16m - 9

First, take '16m' from both sides.
$-2m - 16m = -9$
Second, add '-2m - 16m' to get '-18m'.
$-18m = -9$
Third, divide both sides by '-18'.
$m = \frac{-9}{-18}$
Fourth, change the fraction into a negative.
$m = \frac{9}{18}$
Fifth, find the GCF of 9 and 18.
The GCF is 9.
Sixth, divide the numerator by the GCF.
$9$ ÷ $9 = 1$
Seventh, divide the denominator by the GCF.
$18$ ÷ $9 = 2$
Eighth, rewrite the fraction in simplest form.
$m = \frac{1}{2}$

Answer as fraction: $m = \frac{1}{2}$
Answer as decimal: $m = 0.5$