Mathematics, 19.07.2019 19:30 king514

For the following geometric sequence find the explicit formula {1,-3,}

Answers: 1

Show answers

Answers

Answer from: niele123

The first term of this series (a+1) is 1 and the common ratio (r) is -3.

Thus, the explicit formula is a_n = 1*(-3)^(n-1).

Must check this! suppose we try to calculate the 3rd term. Then n = 3.

a_3 = 1*(-3)^(3-1) = (-3)^2 = 9. This is correct.

Answer from: 001234567891011

$a_n=1\cdot (-3)^{(n-1)}$

Step-by-step explanation:

We have been given a geometric sequence and we are asked to find the explicit formula for our given sequence.

The explicit formula of geometric sequence is in form: $a_n=a_1\cdot r^{(n-1)}$ , where,

$a_n=\text{nth term of sequence}$ ,

$a_1=\text{1st term of sequence}$ ,

$r=\text{Common ratio}$ ,

$n=\text{Number of term}$ .

First of all, let us find common ratio of our given sequence by dividing one term by its previous term.

$r=\frac{-3}{1}=-3$

We can see that 1st term of our given sequence is 1. Upon substituting our given values in explicit form of geometric sequence we will get,

$a_n=1\cdot (-3)^{(n-1)}$

Therefore, the explicit formula for our given sequence is $a_n=1\cdot (-3)^{(n-1)}$ .

Answer from: Quest

40 & 50 in the right corner are the complementary angles as when placed in a sum (added together) they make 90°

Answer from: Quest

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

Another question on Mathematics

Mathematics, 21.06.2019 14:30

Multiply −2x(6x^4−7x^2+x−5) express the answer in standard form. enter your answer in the box.

Answers: 3

Answer

Mathematics, 21.06.2019 16:30

Write each fraction as an equivalent fraction with a denominator of 120then write the original fractions in order from samllest to largest

Answers: 3

Answer

Mathematics, 21.06.2019 19:00

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.

Answers: 1

Answer

Mathematics, 21.06.2019 19:40

Which is greater, 7 p 5 or 7 c 5? 7p5 7c5

Answers: 1

Answer

You know the right answer?

For the following geometric sequence find the explicit formula {1,-3,}...

Questions