1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NeX [460]
3 years ago
12

10.The sum of first 16 terms of the AP: 10, 6 ,2, ....is

Mathematics
1 answer:
madam [21]3 years ago
4 0

Answer:

<h2>               - 320</h2>

Step-by-step explanation:

a₁ = 10

a₂ = 6

d = a₂  - a₁ = 6 - 10 = -4

n = 16

a₁₆ = a₁ + (n-1)•d = 10 + (16-1)•(-4) = 10 - 60 = -50

S_{n}=\dfrac{a_1+a_n}{2}\cdot n\\\\\\S_{16}=\dfrac{10-50}{2}\cdot 16=-40\cdot8=-320

You might be interested in
The equation of a line is y= -1/2x - 2. What is the equation of the line that is perpendicular to the first line and passes thro
Fed [463]
If two line are perpendicular. The multiply of their slopes are equal to -1. 
First line's slope is: -1/2x because if the line equation is form of y=ax+b a is slope. 
Let say second line's slope is m
m.-1/2=-1  so m=2 
y=ax+b is general form of linear function/equation. (a=slope)
y=2x+b 
If this line passes through the point (2,-2),if we write -2 to y and 2 to x, the equation becomes true. 
-2=4+b
b=-6 
Thus, 
y=2x-6 is true answer.

3 0
4 years ago
State the Pythagorean Theorem in your own words
Solnce55 [7]

Answer:

A ^2 + B^2 =C^2. The Pythagorean Theorem is a statement about triangles containing a right angle

Step-by-step explanation:

6 0
4 years ago
What is the surface area ? (rectangular prism)
Oduvanchick [21]
<span> A = 2WL + 2LH + 2HW, W is the width L is the length and H is the Height</span>
6 0
4 years ago
Read 2 more answers
Which of the following is the missing justification?
Montano1993 [528]

Answer:

B and C

2. B Multiplication property of equality

3. C Distributive Property

Step-by-step explanation:

1. Given

\dfrac{1}{5}\cdot x+6=5

2. Multiply this equation by 5:

\left(\dfrac{1}{5}\cdot x+6\right)\cdot 5=5\cdot 5

Multiplication property of equality

3. Use distributive property of equality:

\dfrac{1}{5}\cdot x\cdot 5+6\cdot 5=25\\ \\x+30=25

4. Subtract 30:

x+30-30=25-30\\ \\x=-5

Subtraction property of equality.

7 0
3 years ago
Read 2 more answers
Four girls and two boys are working on an art project. they have four square pieces of felt. each person gets an equal share of
Morgarella [4.7K]
2/3 of a square to each person
4 0
4 years ago
Read 2 more answers
Other questions:
  • lindsey and menon have 1,240 stickers. menon has 4 times as many stickers as lindsey. menon decides to have 6 stickers on each p
    6·2 answers
  • Rewrite the expression 7x^2+14x-56 as three factors where one of the factors is an integer value. Choose three factors and write
    12·1 answer
  • How many ways are there to distribute 5 identical apples and 6 identical pears to 3 distinct people such that each person has at
    11·1 answer
  • A roll of Tape contains 32.9 meters of tape . How many millimeters of tape does the roll contain ?
    9·1 answer
  • The value of the function f(x) = 3x squared minus 2x for x =4
    7·1 answer
  • What value is added to both sides of the equation x2 - 8x = -10 in order to solve by completing the square?
    11·1 answer
  • Please help.
    7·1 answer
  • Find the maximum and minimum values attained by f(x, y, z) = 5xyz on the unit ball x2 + y2 + z2 ≤ 1.
    13·1 answer
  • The volume of a suitcase is 1,200 cubic inches. Its length is 20 inches, and its height is 10 inches. What is the width? Write a
    9·1 answer
  • Can someone help me​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!