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Gnesinka [82]
3 years ago
15

-1,-4,-7,-10 write an equation to find the nth term of each sequence. Then find a24

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0

Answer:

\boxed {a_{24} = - 70}

Step-by-step explanation:

According to the following pattern sequence (-1, -4, -7, -10 ), it is <u>Arithmetic Sequence</u>, because every negative number is subtracted by 3. So, to find the <u>24th term</u>, you need to use the <u>Arithmetic Sequence Formula</u> and solve to find the 24th term:

a_{n} = a_{1} +  (n - 1) d

a_{n}: nth term in the sequence

a_{1}: 1st term

n: term position

d: Common difference

-Apply to the formula:

a_{24} = -1 - 3 (24 - 1)

a_{n} = a_{24}

a_{1} = -1

n = 24

d = -3

-Solve:

a_{24} = -1 - 3 (24 - 1)

a_{24} = -1 - 3 (23)

a_{24} = -1 - 69

\boxed {a_{24} = - 70}

Therefore, the 24th term is -70.

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