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3 years ago

Evaluate the expression when r = 3. 15r

Mathematics

1 answer:

Liula [17]3 years ago

8 0

Answer:

Step-by-step explanation:

Because if you replace the r with 3, it would be 15(3).

15(3) is the same as 15 × 3.

15 × 3 = 45

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Step-by-step explanation:

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2 years ago

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3 years ago

A1 = 10 and an =an -1 +2

Vesna [10]

I assume you're asking to solve for the n-th term in the sequence, $a_n$ .

From the given recursive rule,

$a_n = a_{n-1} + 2 \implies a_{n-1} = a_{n-2} + 2$

and by substitution,

$\implies a_n = a_{n-2} + 2\times2$

Similarly,

$a_n = a_{n-1} + 2 \implies a_{n-2} = a_{n-3} + 2$

$\implies a_n = a_{n-3} + 3\times2$

The pattern continues, so that we can write the n-th term in terms of the 1st one:

$a_n = a_1 + (n-1)\times2 \implies a_n = 10 + 2(n-1) = \boxed{2n+8}$

So the first few terms of the sequence are

{10, 12, 14, 16, 18, 20, …}

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2 years ago