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4 years ago

Find the 6th term of a geometric sequence with t1=5 and r = -1/2

1 answer:

5 0

In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,

An = (A₀)(r)ⁿ ⁻ ¹
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms.

Substitute the known values to the equation,

An = (5)(-1/2)⁶ ⁻ ¹
An = -5/32

Hence, the answer to this item is the third choice, -5/32.

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Broccoli cost 1.50 per pound at a store. How much money does 32 ounce of broccoli cost.

spayn [35]

Answer:

$3.00

Step-by-step explanation:

Step 1. Calculate the pounds of broccoli.

Start with what you know: you want 32 oz of broccoli.

You know that 1 lb = 16 oz. Calculate the weight in pounds

Wt = 32 × 1/16

Wt = 2 lb

===============

Step 2. Calculate the cost of the broccoli.

$1.50 = 1 lb Calculate the cost

Cost = 2 × 1.50/1

Cost = $3.00

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4 years ago

What is the quotient in scientific notation?

levacccp [35]

The answer is 3.6×10^2

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2 years ago

Of 7−3x+x2−2x 7 - 3 x + x 2 - 2 x

andrey2020 [161]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

John’s father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages

oksano4ka [1.4K]

Answer:

8 years

Step-by-step explanation:

Let age of father be f

age of John be j

age of Alice be a

John's father is 5 times as old as John. We can write:

f = 5j

John is twice as old as Alice. We can write:

j = 2a

a = j/2

SUM OF ALL OF THEIR AGES (after 2 years) will be 58. We can write:

f+2 + j+2 + a+2 = 58

This becomes:

f + j + a + 6 = 58

f + j + a = 52

Now, we replace third equation with the first two (in bold) and get:

$f + j + a = 52\\5j + j + \frac{1}{2}j=52\\6.5j=52\\j=8$

So John is 8 years old

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3 years ago