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telo118 [61]
3 years ago
14

If n and k are positive integers, is n divisible by 6 ? (1) n = k(k + 1)(k – 1) (2) k – 1 is a multiple of 3.

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
4 0

Answer: yes, it is

Step-by-step explanation:

A number is divisible by 6 if it is divisible by 2 and 3 simultaniously.

n = k(k+1)(k-1)

If k-1 is a multiple of 3, n is divisible by 3, so one of the requirements is ok.

Now, if k-1 is a multiple of 3, it can be even or odd.

if k-1 is even, then it is divisible by 2 and as it is divisible by 3 as well, n is divisible by 6

if k-1 is odd, then k and k+1 is even, hence, divisible by 2.

As n = k(k+1)(k-1), n is also divisible by 6.

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Step-by-step explanation:

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The face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.

<h3>What is face value?</h3>

Face is the term used in finance, is used for the amount which has to be paid to the policyholder at the time of maturity.

Maria, age 28, wants to pay no more than $300 a year in life insurance.

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Learn more about the face value here;

brainly.com/question/25596583

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