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2 years ago

7

Which formula is used to find the explicit equation for geometric sequences?

1 answer:

Diano4ka-milaya [45]2 years ago

7 0

The explicit formula.

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I thought of a number, added 4 5/7 to it, and got the number 12 times as big as my original what was my number

Genrish500 [490]

Let's call the number you thought of n. Then what the two steps you took can be written as an equation:
$n+4\frac{5}{7}=12n$

Subtract n to get all of your variables to one side:
$4\frac{5}{7}=11n$

At this point, I recommend turning your mixed number into an improper fraction. It will make things easier later on:
$\frac{33}{7}=11n$

Now divide both sides by 11 to get the value of n:
$\frac{3}{7}=n$

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3 years ago

Read 2 more answers

andreev551 [17]

Answer:

see explanation

Step-by-step explanation:

Part 1

The n th term of a geometric sequence is

$a_{n}$ = a $(r)^{n-1}$

where a is the first term and r the common ratio

Given $a_{6}$ = 128, then

a $(2)^{5}$ = 128, that is

32a = 128 ( divide both sides by 32 )

a = 4 ← first term

Part 2

$a_{21}$ = 4 $(2)^{20}$ = 4 × 1048576 = 4194304

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3 years ago

Plss help I’ll mark brainliest

melamori03 [73]

Answer:

D 6

Step-by-step explanation:

Normally when I multiply mixed numbers, I change them to improper fractions first so that it is easier.

1 $\frac{2}{10}$ × 5 = $\frac{12}{10}$ × 5

Multiply 5 by the numerator of the fraction and leave the denominator alone.

$\frac{12}{10}$ × 5 = $\frac{60}{10}$

Change back to simplest form.

$\frac{60}{10}$ = 6

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C is the answer you get while doing the math

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