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Mathematics
08.10.2021 04:38
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What is the answer to this problem?

What is the answer to this problem?
What is the answer to this problem?
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mandy9386
mandy9386
4,8(35 marks)
48

Step-by-step explanation:

It's an arithmetic sequence with common difference d = 7.

a_1=-8\\\\a_2=-8+7=-1\\\\a_3=-1+7=6\\\\a_4=6+7=13

Find 9th term.

METHOD 1.

Calculate next terms:

a_5=13+7=20\\\\a_6=20+7=27\\\\a_7=27+7=34\\\\a_8=34+7=41\\\\a_9=41+7=48

METHOD 2.

The explicit formula of an arithmetic sequence:

a_n=a_1+(n-1)d

Substitue:

a_n=-8+(n-1)(7)          use the distributive property

a_n=-8+7n-7\\\\a_n=7n-15

Put n = 9:

a_9=7(9)-15=63-15=48

kathrynsalomon
kathrynsalomon
5,0(83 marks)

its A.

Step-by-step explanation:

i just took the test

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