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
Mariulka [41]
2 years ago
15

Two terms of an arithmetic sequence are a10=16 and a35=66 find the sum of the first 75 terms

Mathematics
1 answer:
andrew11 [14]2 years ago
4 0

The sum of the first 75 terms of the arithmetic sequence that has 10th term as 16 and the 35th term as 66 is 5400.  

<h3>How to find the sum of terms using Arithmetic sequence formula</h3>

aₙ = a + (n - 1)d

where

  • a = first term
  • d = common difference
  • n = number of terms

Therefore, let's find a and d

a₁₀ = a + (10 - 1)d

a₃₅ = a + (35 - 1)d

Hence,

16 = a + 9d

66 = a + 34d

25d = 50

d = 50 / 25

d = 2

16 - 9(2) = a

a = 16 - 18

a  = -2

Therefore, let's find the sum of 75 terms of the arithmetic sequence

Sₙ = n / 2 (2a + (n - 1)d)

S₇₅ = 75 / 2 (2(-2) + (75 - 1)2)

S₇₅ = 37.5 (-4 + 148)

S₇₅ = 37.5(144)

S₇₅ = 5400

learn more on arithmetic sequence here: brainly.com/question/1687271

You might be interested in
Which word has almost the same meaning as the word drawbacks? 1st person to answer get brainlyest
iogann1982 [59]

Answer:

Step-by-step explanation:

cross out

3 0
3 years ago
Read 2 more answers
Ten points per answer plz hurry this is a timed quiz
4vir4ik [10]

Answer:

the solution is given by s=9 because it makes the value of 3s+12 equal to 21

Step-by-step explanation:

5 0
3 years ago
I rlly need help!!!!!!!
Yuliya22 [10]
The correct answer is the 2nd one
3 0
2 years ago
I need help on this as fast as possible will mark brainliest
Lisa [10]

Answer:

C.

Another way to write the added percent of something is by putting a 1 to indicate the aditional.

6 0
3 years ago
Read 2 more answers
A farmhouse shelters 8 animals. Some are sheep and some are geese. Altogether there are 20 legs. How many of each animal are the
Novosadov [1.4K]

Answer:

I think they have 2, I could be wrong though

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • 50 points and brainliest for whoever gives the best and clearest answer !
    8·2 answers
  • Using the following Venn Diagram what is the probability of selecting a letter that is neither blue nor red?
    13·1 answer
  • 38F hotter or 2C (Tempture)
    10·2 answers
  • What is non-collinear?
    8·1 answer
  • I need to know what this answer is
    15·1 answer
  • Marie is a party planner who is helping a couple plan their wedding reception. Marie suggested 2 different reception locations a
    14·1 answer
  • Find the mean absolute deviation
    12·1 answer
  • A restaurant sells burritos for $8.00 each. The cost of the meat is $1.50 and the cost of the
    13·1 answer
  • Write the equation for the line that passes through (2, -4) and is
    11·1 answer
  • Find the volume
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!