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
storchak [24]
3 years ago
14

What is the sum of the first 37 terms of the arithmetic sequence?

Mathematics
1 answer:
lidiya [134]3 years ago
6 0

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

a_{n+1} = a_{n} + d

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

a_{n} = a_{1} + (n-1)*d

The sum of the first n terms of an arithmetic sequence is given by:

S_{n} = \frac{n(a_{1} + a_{n})}{2}

In this question:

a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6

We want the sum of the first 37 terms, so we have to find a_{37}

a_{n} = a_{1} + (n-1)*d

a_{37} = a_{1} + (36)*d

a_{37} = -27 + 36*6

a_{37} = 189

Then

S_{37} = \frac{37(-27 + 189)}{2} = 2997

The sum of the first 37 terms of the arithmetic sequence is 2997.

You might be interested in
Each of the 60 students in math curriculum is taking at least one of the three math course offered. Forty-six are taking consume
Vlada [557]

Answer:

4

Step-by-step explanation:

4 is cooooool

3 0
3 years ago
Read 2 more answers
Pls helpppppppppppppppp
vredina [299]

Answer: D

Each time a new row and a new column is added. The last pattern had 3 rows and 4 columns, so the next pattern will have 4 rows and 5 column.

:)

5 0
2 years ago
Read 2 more answers
A newborn baby has 26,000,000,000 cells. An adult has about 1.9×10³ times as many as a newborn. About how many cells does an adu
Alenkinab [10]
*Hint* the ^ just means that the following numbers are powers like 1.9x10^3 is same as 1.9x10³


To figure this out just multiply 

26000000000 × 1.9x10³ = 4.94x10¹³ cells in adults
6 0
2 years ago
Please help me on this
Fed [463]
I don't exactly get what your supposed to do but I thought it like this:
T V
3000 0
3000 4000
5000 4000
5000 8000
the last two are the final answers on how long the ran or it could be Terrel ran 5 kilometers while Victor ran 8 kilometers, but still idk what exactly your supposed to put
5 0
3 years ago
What is the inverse of f(x)=x^4+7 for x&gt;0 where function g is the inverse of function f?<br> -
Ann [662]

Answer:

g(x) = \sqrt[4]{x-7},~ x\geq 7

Step by step explanation:

y= f(x) = x^4+7\\\\\text{Replace x with y and solve for y:}\\\\~~~~~~~x = y^4 +7\\\\\implies y^4 = x-7\\\\\implies y = \pm\sqrt[4]{x-7}\\\\ \implies f^{-1}(x) = \pm\sqrt[4]{x-7}

7 0
1 year ago
Other questions:
  • Find the rectangular coordinates of the point with the polar coordinates (8, 3 divided by 2 pi ). (1 point) (0, -8) (0, 8) (8, 0
    12·1 answer
  • How many minutes does it take to make one ballon sculpture
    12·1 answer
  • How are the slope from formula and the point slope from related
    8·1 answer
  • How do you solve for x in x^2+5x=36
    6·2 answers
  • If 6 people can paint a room in 36 minutes, how many people would it take to paint the room in exactly 24 minutes?
    12·1 answer
  • What does "to factor" mean? find a synonym for it?
    14·2 answers
  • A theater company charges $9.50 per ticket for people of all age groups. If c represents the total number of children who bought
    6·1 answer
  • The fraction 13/16 is closest to which benchmark?
    15·1 answer
  • Solve: k/3+4-5k=-2k (LOOK AT PICTURE)​
    15·1 answer
  • After being cut last week, the grass
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!