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tekilochka [14]
3 years ago
10

2,5,8,11,14 write down in terms of n , an expression for the nth term for this sequence

Mathematics
1 answer:
Alisiya [41]3 years ago
4 0

Answer:

a_{n} = 3n - 1

Step-by-step explanation:

Note there is a common difference d between consecutive terms in the sequence, that is

5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3, thus

a_{n} = 2 + 3(n - 1) = 2 + 3n - 3 = 3n - 1

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The factored expression of m(2a+b)-n(2a+b)+2n(2a+b) is (m + n)(2a + b)

<h3>How to factor the expression?</h3>

The expression is given as:

m(2a+b)-n(2a+b)+2n(2a+b)

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