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Juliette [100K]
2 years ago
11

What is the solution of the equation m - 8 = -14?

Mathematics
2 answers:
11111nata11111 [884]2 years ago
8 0
M - 8 = -14
(You need to get rid of the -8 because you want the letter on its own, so to get rid of it you add 8 to both sides)
m= -14 + 8
m = -6

Answer: m=-6
Alinara [238K]2 years ago
6 0

\large\bf\blue{ \diamond} \rm  \: \: m \:  -  \: 8 \:  =  \:  - 14 \\  \\ \large\bf\blue{ \diamond} \rm \:  \: m \:  =  \:  - 14 \:  +  \: 8 \\  \\ \large\bf\blue{ \diamond} \rm \:  \: m \:  =  \:  - 6

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Answer:

The equation for the nth term of  the given arithmetic sequence is: \mathbf{a_n=13n+22}

Step-by-step explanation:

We need to write an equation for the nth term of  the arithmetic sequence:

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The equation for arithmetic sequence is: a_n=a_1+(n-1)d

Where a_n is the nth term, a_1 is first term and d is common difference

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We can find common difference using the formula:

a_n=a_1+(n-1)d\\Put\: n=2, a_2=28\: and\: a_1=15\\a_2=a_1+(2-1)d\\28=15+d\\d=28-15\\d=13

So, the common difference d is 13

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a_n=a_1+(n-1)d\\Put\:a_1=15, d=13\\a_n=15+(n-1)13\\Solving:\\a_n=15+13n-13\\a_n=13n+2

So, the equation for the nth term of  the given arithmetic sequence is: \mathbf{a_n=13n+22}

where n=1,2,3..

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