itsjusmika

05.12.2019 •

Mathematics

Paula remembers that she worked 20 hours and made $80. use rate table to find how much each person makes in 1 hour and how long each peraon has to work to make $1

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Ответ:

ryliesheab

22.03.2022

Mathematics

9. a_n=7+6n

10. $a_n=a_{n-1}+7$

Step-by-step explanation:

9. Given the sequence

13, 19, 25, ...

In this sequence,

$a_1=13\\ \\a_2=19\\ \\a_3=25\\ \\...$

Note that

$a_2-a_1=19-13=6\\ \\a_3-a_2=25-19=6,$

then the common difference in this sequence is d=6

You have

$a_1=13\\ \\d=6,$

then the explicit formula is

$a_n=a_1+(n-1)d\\ \\a_n=13+(n-1)\cdot 6\\ \\a_n=13+6n-6\\ \\a_n=7+6n$

10. Given the sequence

-10,-3, 4, 11, ...

In this sequence,

$a_1=-10\\ \\a_2=-3\\ \\a_3=4\\ \\a_4=11\\ \\...$

Note that

$a_2-a_1=-10-(-3)=-10+3=-7\\ \\a_3-a_2=-3-4=-7\\ \\a_4-a_3=11-4=7,$

then the common difference in this sequence is d=7

You have

$a_1=-10\\ \\d=7,$

then the recursive formula is

$a_n=a_{n-1}+d\\ \\a_n=a_{n-1}+7$

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