Consider the arithmetic sequence log x + log √2, 2 log x + log 2, 3 log x + log 2√2...... (a) Find the general term of the sequence. (b) Find the sum of the first 40 terms of the sequence.

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asked Aug 12, 2023 103k views

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Consider the arithmetic sequence log x + log √2, 2 log x + log 2, 3 log x + log 2√2......

(a) Find the general term of the sequence.
(b) Find the sum of the first 40 terms of the sequence.

Mathematics
high-school

Rami Kuret asked

by Rami Kuret

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1 Answer

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Answer:

a)
a_n=n log(x√(2) )

b)
S_(40)=820 log (x√(2))

Explanation:

See attachment for step-by-step

Consider the arithmetic sequence log x + log √2, 2 log x + log 2, 3 log x + log 2√2...... (a-example-1

Consider the arithmetic sequence log x + log √2, 2 log x + log 2, 3 log x + log 2√2...... (a-example-2

Consider the arithmetic sequence log x + log √2, 2 log x + log 2, 3 log x + log 2√2...... (a-example-3

Samufi answered Aug 17, 2023

by Samufi

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