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
bonufazy [111]
3 years ago
15

What is the sum of a 6-term geometric sequined if the first term is 22 and the last term is 1299078

Mathematics
1 answer:
stira [4]3 years ago
8 0

Answer:

1461460

Step-by-step explanation:

From the question given, we obtained the following data:

a = 22

Last term = T6 = 1299078

Let us find the common ratio(r)

Tn = ar^(n-1)

T6 = ar^5

1299078 = 22r^5

Divide both side by 22

r^5 = 1299078/22

r^5 = 59049

Take the fifth root of both side

r = 5√ 59049

r = 9

Now we can find the sum of the 6th term as follows

Sn = a[(r^n) — 1] / (r —1)

S6 = 22[(9^6) — 1] / 9—1

S6 = 22[(9^6) — 1] / 9—1

S6 = 22[531441 — 1] / 8

S6 = 22[531440] /8

S6 = 22 x 66430

S6 = 1461460

You might be interested in
The cost c, to produce b baseball bats per day is modeled by the function c(b)=0.06b^2 - 7.2b + 390. What number of bats should
Finger [1]
You have two choices.
The minimum possible cost to operate your bat factory for a day is $390,
and there are two quantities of bats that both cost that much.

One possibility: 
                   Produce no bats at all per day.  Zero.  Nada.  None.
                   Cost = 0.06(0)²  -  7.2(0)  +  390  =  $390 per day.

The other choice:
                   Produce  120 bats per day.
                   Cost = 0.06(120²)  -  7.2(120)  +  390
                          = 0.06(14,400)  -  7.2(120)  +  390
                          =      864          -      864      +  390
                          =      $390  per day.

If you produce any other number of bats in a day ... more than zero
but not 120 ... then it will cost you more than $390 to operate the factory
that day.
8 0
3 years ago
Factorize the following expression ab-a-b+1
dolphi86 [110]

Group 'em together

a b − a + 1 − b

a b − a = a ( b − 1 )

Notice that there will be a 1 as without it it'll simply be  ab

1 − b = 1 ( 1 − b )

Notice that it doesn't match with the upper one... so we'll change the signs

1 ( 1 − b ) = − 1 ( b− 1 )

(try to multiply them now!!

Jot them down in one expression

a ( b − 1 ) − 1 ( b − 1 )

You get!!!!!!

( a − 1 ) ( b − 1 )

5 0
3 years ago
PLEASE HELP - Part A Find the value of x in the following figure: Part B Find the measure of ACD
Margarita [4]

Answer:

Part A = 90

Part B = 145

Step-by-step explanation:

For part A, we know that a triangle has a sum of 180 degrees. So we just add the angles we already know and then subtract them from 180. For part B, we know that angle ACB and angle ACD are supplementary angles, meaning they add up to 180 degrees. So just take 180 and subtract 35 to find the measure of angle ACD.

5 0
3 years ago
The scale factor of the dimensions of two similar wood floors is 5 ​: 3. It costs ​$144 to refinish the smaller wood floor. At t
Eva8 [605]

Answer: 240

Step-by-step explanation:

144/3 = 48

5x48= 240

6 0
3 years ago
Please answer this correctly
Alexeev081 [22]

Answer:

65

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Select the equation of the line that passes through the point (3, 5) and is perpendicular to the line x = 4.
    14·1 answer
  • Write four equivalent expressions for 3(6m+3)
    9·1 answer
  • Algebra II<br>Which is the correct statement?
    14·1 answer
  • Write the function f(x) that is equal to the derivative of the series, please check my work...
    9·1 answer
  • Use the graph or table to write a linear function that relates y to x
    7·1 answer
  • The vertices of a polygon are (12, 24), (27, 24), (30, 12), and (6, 12). Find the area of the polygon.
    11·1 answer
  • Hi! Can you help me on volume of cylinder??? I don't really understand it. Thanks!!! (BTW, I will give brainliest to correct ans
    12·1 answer
  • PLEASE HELP WITH THIS QUESTION​
    14·1 answer
  • What is the next fraction in the sequence? 1/3, -2/9, 4/27, -8/81
    6·1 answer
  • Pls help if I don’t finish today mom will hurt me
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!