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
Marizza181 [45]
3 years ago
14

The common ratio of a geometric series is 1/4 and the sum of the first 4 terms is 170.

Mathematics
1 answer:
Illusion [34]3 years ago
5 0

Answer: the first term of the series is 128

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

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

Where

n represents the number of term in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

r = 1/4 = 0.25

n = 4

S4 = 170

Therefore, the expression for the sum of the 4 terms, S4 is

170 = a(1 - 0.25^4)/(1 - 0.25)

170 = a(1 - 0.00390625)/(1 - 0.25)

170 = a(0.99609375)/(0.75)

170 = 1.328125a

a = 170/1.328125

a = 128

You might be interested in
Can someone help me out with this question?
goblinko [34]

Answer:

The third option

Step-by-step explanation:

The third option represents 65 over 100, meaning 65% of whatever of it would the 65% of 90 be

6 0
3 years ago
The total cost of a truck rental, y, for x days, can be modeled by y=24x+39. What is the rate of change for this function?
padilas [110]

Answer:

24 per day

Step-by-step explanation:

'x' = days, so since 24 is with x, the rate of change is 24

3 0
3 years ago
Please help me with these questions this is the main reason why my grade is down and I don’t get it please please if u know the
masya89 [10]

Answer:

what is this and give more info next time too

Step-by-step explanation:

5 0
3 years ago
Hep me please and thx u
zubka84 [21]

Answer:

what do i dohere?

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help!<br><br> Find the measure of the angle labeled with the question mark.
zmey [24]

Answer:

it is 125°

Step-by-step explanation:

alternate interior angles are equal

7 0
3 years ago
Other questions:
  • Which graph represents the function?
    12·2 answers
  • What expressions are equal 10^5
    8·2 answers
  • Given n//p m&lt;2=50 degrees what is m&lt;7?
    10·2 answers
  • Find the domain and range of the following graph<br> Domain:<br> Range:
    13·1 answer
  • What is the constant of proportionality?
    12·1 answer
  • A triangle has sides with lengths of 7 millimeters, 14 millimeters, and 15 millimeters. Is it a right triangle
    6·1 answer
  • Factor by using GCF:<br> 8n3 + 2n2
    11·1 answer
  • What’s the solution of 4= -2(x-3)
    7·2 answers
  • 50 POINTS! PLEASE ASAP, BRAINLIST
    9·1 answer
  • Could someone pls answer
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!