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3 years ago

12

Please help, show me how to check the answer to this

1 answer:

sveta [45]3 years ago

5 0

3x-7=5x=19
3x-7-5x=5x+19-5x
-2x-7=19
-2x-7+7=19+7
-2x=26
-2x/-2=26/-2
x=-13

:) Did you get that?

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3 years ago

Consider the sequence: 3, 8, 13, 18, 23, ...The recursive formula for this sequence is:an = an-1 + 5In a COMPLETE sentence, expl

Leona [35]

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see the explanation

Step-by-step explanation:

we know that

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant called the common difference

we have

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Let

$a_1=3\\a_2=8\\a_3=13\\a_4=18\\a_5=23\\$

$a_2-a_1=8-3=5$ ------> $a_2=a_1+5$

$a_3-a_2=13-8=5$ ------> $a_3=a_2+5$

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so

the common difference between consecutive terms is equal to 5

we can rewrite the formula as

$a_n=a_(_n_-_1_)+5$ -----> given formula

For n > 1

where

an is the term that you want to find (position n)

a(n-1) is the known term position (n-1)

Find a_8

For n=8

$a_8=a_(_8_-_1_)+5$

$a_8=a_7+5$

I need to know a_7

or

we know that

The general formula for arithmetic sequence is equal to

$a_n=a_1+d(n-1)$

where

an is the term that you want to find (position n)

a_1 is the first term

d is the common difference

n is the number of terms

we have

$a_1=3$

$d=5$

substitute

$a_n=3+5(n-1)$

$a_n=3+5n-5$

$a_n=5n-2$

so

For n=8

$a_8=5(8)-2$

$a_8=38$

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3 years ago