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2 years ago

Write an explicit formula for the sequence 7, 1, -5, -11, -17,... Then find a14

1 answer:

4 0

An=a1+d (n-1)
a1= 7
find d
Let's use a2
a2=1
1=7+d (2-1)
1=7+d
-7 both sides
d=-6
explicit formula is

an=7+-6 (n-1)

a14=?
a14=7-6 (14-1)
a14=7-6×13
a14=7-78
a14=-71

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2 years ago

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3 years ago

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The safety instructions for a 20 foot ladder say the ladder should not be inclined more than 70 degrees with the ground. suppose

Romashka [77]

Answer: the distance of the base of the house to the foot of the ladder is 6.84 feet

Step-by-step explanation:

The scenario is shown in the attached photo.

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AC = the height of the ladder

AB = x feet = distance of the base of the house to the foot of the ladder

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3 years ago

Find the coordinates of the midpoint of the segment whose endpoints are R(9, 3) and S(-1, -9).

amm1812

Answer:

$(4, -3 )$

General Formulas and Concepts:

Pre-Algebra I

Order of Operations: BPEMDAS

Algebra I

Midpoint Formula: $(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )$

Step-by-step explanation:

Step 1: Define

R (9, 3)

S (-1, -9)

Step 2: Find midpoint

Substitute: $(\frac{9-1}{2}, \frac{3-9}{2} )$
Subtract: $(\frac{8}{2}, \frac{-6}{2} )$
Divide: $(4, -3 )$

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2 years ago