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
evablogger [386]
3 years ago
6

How many terms are there in a geometric series if the first term is 5, the common ratio is 3, and the sum of the series is 65?

Mathematics
1 answer:
iogann1982 [59]3 years ago
7 0

sn =  \frac{a(1 -  {r}^{n}) }{1 - r}
hence,

65=5(1-3^n)/1-3
( multiply by -2 on both sides )
130=5(1-3^n)
26=1-3^n
27=3^n

from here, you can use lg to solve for n.

lg 27 = lg 3^n
lg 27 = n lg 3
n = lg 27 ÷ lg 3

hence, n = 3
You might be interested in
Because I already found what they were or you just have to explain how I found it and then on 16 you just have to find it and th
Iteru [2.4K]
11. to find <DAC a triangle will equal to 180° so subtract 100 and 32 from 180° which will give you 48.

12. is 145° not 35° because you add the two angles your given and and subtract from 180° a triangle will ALWAYS equal to 180°

13. To find <BAC a triangle will equal to 180° so subtract 88 and 57 from 180 which will give you 145°

14. is actually the same answers as 11 cause the the angle you need to find will always be the middle number which is the vertex. they both have the same vertex which is <A

15. will be the same as 11 as well.

16. <P will equal to 49.5

17 and 18. <B will actually be 90° if you see that square symbol it actually indicates it's a 90 degree angle. <A will be 48° and to find <C you add all the angles and subtract it by 180 which will give you 42°

hope this helps I'm taking geometry as well keeps practicing and this will get so easy. if you find any mistakes comment ❣

7 0
4 years ago
Sam conducted a survey to determine the favorite flavor of ice cream in his hometown. Fifteen of the fifty people he
Rus_ich [418]

Answer:

1,050

Step-by-step explanation:

If 15 people out of 50 liked strawberry best.

The relative frequency of liking strawberry best in Sam's hometown will be:

Relative Frequency = \dfrac{15}{50}

Expected Outcome=Relative Frequency X Number of Trials

Therefore, out of the 3500 residents:

Number of People Expected to like strawberry best

= \dfrac{15}{50}X3500

=1,050

4 0
4 years ago
The formula for perimeter of a rectangle is P = 2(I+ w). Solve for w, the width of the rectangle, in terms of P and I
joja [24]
P/2 - l = w
perimeter divided by 2 minus the length
8 0
3 years ago
6. Suzette has a total of 32 nickels and dimes. If
vredina [299]

Answer:

Step-by-step explanation:

The answer is 85 32x5equals 160 then 245 minus 160 equals 85 85x10 equals 850 $8:50 plus $1:60 equals $2:45

3 0
3 years ago
Read 2 more answers
Find an explicit formula for the geometric sequence −1,−7,−49,−343,...-1\,,-7\,,-49\,,-343,... −1,−7,−49,−343
umka21 [38]
So we see it times 7 each time
starting with -1

geometric
an=a1(r)^(n-1)
a1=first term
r=common ratio
first term is -1
r=7

a_n=-1(7)^{n-1} is the formula
also can look like this:
f(n)=-1(7)^{n-1}
7 0
3 years ago
Other questions:
  • A raffle is held at MTHS ASB to draw for a $1000 plasma television. Two thousand tickets are sold at $1.00 each. Find the expect
    8·2 answers
  • What is 0.64 divided by 4
    13·1 answer
  • What is 3/4 ÷ -2 3/4
    14·1 answer
  • What is a regular tessellation? How many regular tessellations are possible? Why aren’t there infinitely many regular tessellati
    14·1 answer
  • Please answer this correctly
    14·1 answer
  • Can someone please help me with this problem .. I don't understand it .... Please help asap . . it is due tomorrow.. Please help
    6·1 answer
  • Expressions that are equivalent to 4^3
    9·1 answer
  • Pls help im very desperate i'll defenitely give brainliest
    13·2 answers
  • Please help me, I will be so thankful ​
    10·1 answer
  • It is estimated that 89% of senior citizens suffer from sleep disorders and 9% suffer from anxiety. Moreover, 5% of senior citiz
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!