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Irina18 [472]
3 years ago
9

Twice the sum of consecutive numbers n and n+1 is 510. What is the smaller number and the larger number?

Mathematics
1 answer:
Paha777 [63]3 years ago
7 0

Answer:

n is smaller, n + 1 is larger

Step-by-step explanation:

First, make the equation.

2(n + n+1) = 510

Then, simplify.

2(2n + 1) = 510

Distribute.

4n + 2 = 510

Solve.

n = 127

The smaller number is n (127) and the larger number is n + 1 (128).

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Answer: choice A) 7017

==========================================================

Work Shown:

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The common difference is d = 7

The nth term formula we'll use is
a_n = a_1 + (n-1)*d
a_n = 24 + (n-1)*7

----------

The 1000th term corresponds to n = 1000

Replace every n with 1000
Then use the order of operations (PEMDAS) to simplify

a_n = 24 + (n-1)*7
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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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