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Write the formula for the sequence below:

13, 20, 27, 34, ...

Write the formula for the sequence below: 13, 20, 27, 34, ...-example-1
User GLK
by
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1 Answer

9 votes

Answer:

aₙ = 6 + 7n

Explanation:

20 - 13 = 27 - 20 = 34 - 27 = 7

It is an arithmetic sequence with common difference of 7

a₁ = 13

a₂ = 20 = 13 + (2 -1 )*7

a₃ = 27 = 13 + (3 - 1)*7

a₄ = 34 = 13 + (4 - 1)*7

...

aₙ = 13 + (n - 1)*7 = 13 + 7n - 7 = 6 + 7n

ao

aₙ = 6 + 7n

User Hassan Radi
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