Find the 50th term of the sequence 5, -2, -9, -16

Mathematics

1 answer:

VARVARA [1.3K]2 years ago

6 0

Answer:

-35

Step-by-step explanation:

it is going backwards by -7 so 5x-7 = -35

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Given a term and the common difference, find the explicit formula. 8. a(19) = 135 d = 15

Rasek [7]

The explicit formula is a(n) = 15(n – 10)

Solution:

Given, a term a(19) = 135 and common difference d = 15

We have to find the explicit formula.

Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,

So, for a(19)

$\begin{array}{l}{\rightarrow a(19)=a+(19-1) 15} \\\\ {\rightarrow 135=a+18 \times 15} \\\\ {\rightarrow a=135-270} \\\\ {\rightarrow a=-135}\end{array}$

Now, we know that, an explicit formula is an expression for finding the nth term,

So, in our problem, expression for finding nth term is a + (n – 1)d

$\begin{array}{l}{\rightarrow-135+(n-1) 15} \\\\ {\rightarrow-135+15 n-15} \\\\ {\rightarrow 15 n-150} \\\\ {\rightarrow 15(n-10)}\end{array}$

Hence, the explicit formula is a(n) = 15(n – 10).

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Ilya [14]

At 95% confidence interval, true population mean is given by

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If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer in the box.

emmasim [6.3K]

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Answer:

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