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1 year ago

What is ∑n=16[4(−5)n−1] equal to? Enter your answer in the box.

Mathematics

1 answer:

Cerrena [4.2K]1 year ago

4 0

Step-by-step explanation:

Geometric Sequence formula for general term:

an = a1(r^n-1)

a1 = 4 × (-5)^1-1

a1 = 4

r = -5

Summation formula for geometric sequence :

Sn = a1 ( 1 - r^n / 1 - r )

...<em>take n from the top of the summation.</em>

= 4 ( 1 -(-5)^6 / 1 -(-5)

= -10416.

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Lapatulllka [165]

Answer:

Leg of an isosceles right triangle is 7.99 long.

Step-by-step explanation:

Given:

Length of the hypotenuse =11.31

To find:

Length of the leg of an isosceles right triangle =?

Solution:

According to Pythagorean's Theorem, we have

$a^2 +b^2 = c^2$ -----------------------------(1)

Here were are given as isosceles triangle, so the two sides will be of same length

So equation 1 can be rewritten as

$a^2 +a^2 = c^2$

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Substituting the value of hypotenuse

$2a^2 = (11.31)^2$

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2 years ago

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Shalnov [3]

Answer:

See below.

Step-by-step explanation:

Formula:

$a_n = 3(n + 4)$

First term: n = 1

$a_1 = 3(1 + 4) = 15$

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$a_2 = 3(2 + 4) = 18$

Third term: n = 3

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Fourth term: n = 4

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Tenth term: n = 10

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2 years ago

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KatRina [158]

Answer:

x=11

Step-by-step explanation:

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2 years ago

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vichka [17]

Answer:

$2(x - 5)$

Step-by-step explanation:

$2x - 10$

$\frac{2x}{2} - \frac{10}{2}$

$2(x - 5)$

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2 years ago