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Oksanka [162]
3 years ago
5

in a multiple choice test there are 10 questions. each question has 5 choices how many ways can they complete the test no two co

nsecutive answers
Mathematics
1 answer:
klio [65]3 years ago
5 0

Answer:

1310720

Step-by-step explanation:

Given,

Total number of questions = 10,

Number of choices = 5,

If there are no two consecutive answers,

That is, if we have options a, b, c, d and e for each question,

Then, a could not be the answer of two consecutive questions,

We could pick 1 out of 5 answers for the first question and then for the remaining 9 questions we have only have 4 choices,

Hence, the total number of ways = 5 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4

=5\times 4^9

=1310720

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The explicit formula for the sequence is 3n -10

<h3>What is an Arithmetic Sequence ?</h3>

An arithmetic sequence is a series of terms which have  common difference between its consecutive numbers.

The sequence given is

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The common difference between each term is d =3

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The nth term for a sequence is given by

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<u>Finding</u><u> </u><u>distance</u><u> between</u><u> </u><u>the </u><u>two </u><u>points</u><u> </u><u>:</u><u>-</u><u> </u>

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