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3 years ago

The sum of the first 6 terms of a geometric series is 15,624 and the common ratio is 5 what is the first term of the serious?

Mathematics

1 answer:

kap26 [50]3 years ago

5 0

Answer:

first term = 4

Step-by-step explanation:

Sₙ = (a₁ * (1 - rⁿ)) / (1 - r) a₁: first term r: common ratio n: terms

15624 = (a₁ * (1 - 5⁶)) / (1 - 5)

= (a₁ * -15624) / -4

a₁ x (-15624) =15624 x (-4)

a₁ = 4

check: 4+20+100+500+2500+12500 =15624

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Zigmanuir [339]

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2 years ago

Two factory plants are making TV panels. Yesterday, Plant A produced 7000 fewer panels than Plant B did. Four percent of the pan

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1 year ago

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3 years ago

Read 2 more answers

A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 fe

Vanyuwa [196]

The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches

The dimension of the mirror is given as:

$Height = 24\ in$

$Width = 28\ in$

From the center of the mirror to the floor of the wall, the distance is:

$Distance =5\frac14\ ft$

So, the distance to the top of the mirror will be:

$Top = 5\frac 14\ ft + \frac 12 \times Height$

Substitute 24 for height

$Top = 5\frac 14\ ft+ \frac 12 \times 24\ in$

$Top = 5\frac 14\ ft+ 12 \ in$

Convert feet to inches

$Top = 5\frac 14\times 12\ in+ 12 \ in$

$Top = 63\ in+ 12 \ in$

$Top = 75 \ in$

The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.

So, we have:

$Distance = 8\ ft - 75\ in$

Convert feet to inches

$Distance = 8\times 12\ in - 75\ in$

$Distance = 96\ in - 75\ in$

$Distance = 21\ in$

Hence, the distance is 21 inches