What is the sum of the geometric series in which a1 = −2, r = 3, and an = −1,458?Sn = −2,186
Sn = −728
Sn = 2,186
Sn = 728
Answers
Detailed solution is attached
Final answer:
The sum of a geometric series is calculated using the relevant formula from a1, r, and an. The unknown n can be calculated from the given an, a1 and r. These are then substituted into the sum formula.
Explanation:
The given is a geometric series where first term a1 = -2, common ratio r = 3, and last term an = -1458. The sum of a geometric series, Sn, can be calculated using the formula , where n is the number of terms in the series. However, in this case, we don't know n directly, but we do know the nth term (an) using the formula
, you can rearrange to solve for n: n = log((an/a1))/log(r) + 1. Plug this value of n and the given a1, r into the sum formula to get the sum.
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Cole paid $46 for 4 people to go to the movies .if it costs the same per ticket, how much Will cole pay for 7 people to go see a movie next week
Which best describes the area of a polygon
Answers
Answer:
The probability is 1/30 or 0.0333
Step-by-step explanation:
For calculating the probability we need to make a division between the number of ways in which the first boy born is named Sam and the second boy born is named Mark and the total number of ways in which the couple can name their children.
To calculate the total number of ways in which the couple can name their children, we can use the rule of multiplication as:
6 * 5 = 30
First boy Born 2nd Boy Born
Because we have 6 options for the name of the first boy and 5 options for the name of the second boy.
Additionally, In just one option from this 30, the first boy is named Sam and the second is named Mark.
So, the probability is calculate as the division between 1 and 30 as:
Final answer:
The probability that the first boy born will be named Sam and the second boy born will be named Mark is 1/15.
Explanation:
To find the probability that the first boy born will be named Sam and the second boy born will be named Mark, we need to determine the total number of possible outcomes and the number of favorable outcomes.
There are a total of 6 names to choose from and the couple needs to choose 2 names without repetition. So, the total number of possible outcomes is given by the combination formula C(6,2) which evaluates to 15.
Out of these 15 possible outcomes, there is only 1 favorable outcome where the first boy is named Sam and the second boy is named Mark.
Therefore, the probability that the first boy born will be named Sam and the second boy born will be named Mark is 1/15.
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Answers
hope this helps
find next two term
Answers
The next two term is 13 and 16 respectively.
Step-by-step explanation:
here,
a1 = -2
a2 = 1
a3 = 4
a4 = 7
a5 = 10
So, d = a2 - a1 = 1 - (-2) = 3
= a3 - a2 = 4 - 1 = 3
Here, Common difference is sameeverywhere and the value of d is 3
Then,
To find 6th term of this sequence
a6 = a5 + d
= 10 + 3
a6 = 13
To find 7th term of this sequence
a7 = a6 + d
= 13 + 3
a7 = 16
Thus, The next two term is 13 and 16 respectively.
-TheUnknownScientist
Answer:
13, 16
Step-by-step explanation:
If the positive number is bigger than the negative, the answer would be positive. For example, let's use -2 and subtract it from positive 4, the answer would be positive 2.
Sorry if I'm wrong. I'm a bit rusty on terms
Answers
Step-by-step explanation:
mutiply (-5+i) and 2i with 2i
2i × 2i = 4i^2 ➡-4
2i × (-5+i) = -10i + 2i^2 ➡-10i -2
then do the division
(-10i -2)/-4 = (5i + 1)/2
Multiply the numerator and denominator by the conjugate of 2i to make the denominator a real number:
-5 + 1 / 2i
= -5 + i /2i x i/i
= -5i + i^2 / 2 x i^2
Rewrite i^2 as -1:
-5i + -1 / 2 x -1
Simplify:
= -1 - 5i / -2
Split the fraction into two separate ones:
1/2 + 5i/2
Answers
Answer:
you would distribute the -4 into the parenthesis and the answer would be option D
Step-by-step explanation:
of the dinner equally. However, since Matthew's dad provided concert tickets for the
group, the friends agree that Matthew doesn't have to help pay for the car service.
The friends divide this cost equally among themselves. If each friend spends a total of
$30, how many friends went to the concert with Matthew?
A4
B5
C6
D7
Answers
Answer:
7
Step-by-step explanation:
i got it correct on my test