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USPshnik [31]
2 years ago
10

Find the 87th term of the arithmetic sequence 1,14,27,….

Mathematics
1 answer:
vazorg [7]2 years ago
4 0

Answer:

a_{87}=1119

Step-by-step explanation:

Arithmetic sequence:

a_n=a_1+(n-1)d

where d is the common difference between terms and n is the index of any given term.

Find the difference between the terms in the given sequence here:

14-1=13\\27-14=13

Each term has a common difference of 13. Using that, you can write the equation for this sequence:

a_n=1+(n-1)13

Finally, you can use this equation to find the 87th term by plugging in 87 for n:

a_{87}=1+(87-1)13\\a_{87}=1+(86)13\\a_{87}=1+1118\\a_{87}=1119

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