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Alex787 [66]
3 years ago
15

Suppose you took eight math tests this semester. If your average score on your first six tests was 84 and your average score on

all eight tests was 86, then what was the average of your last two test scores? avamarie Apr 27, 2020
Mathematics
1 answer:
iris [78.8K]3 years ago
8 0

Answer: 92

Step-by-step explanation:

Formula : Sum of first n numbers = Average x n

Given: Average score on first 6 tests= 84

A score on all 8 tests = 86

Then, Sum of first 6 numbers = 84 x 6 = 504

Sum of first 8 numbers = 86 x 8 = 688

Sum of two last numbers = (Sum of first 8 numbers) - (Sum of first 6 numbers)

= 688-504

=184

Average of last two numbers = (Sum of two last numbers )÷2

= 184÷2

= 92

Hence,  the average of your last two test scores = 92.

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3 years ago
Express the terms of the following sequence by giving a recursive formula.
emmasim [6.3K]

The recursive formula for given sequence is: a_n = a_{n-1}-7

And the terms will be expressed as:

a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\

Step-by-step explanation:

First of all, we have to determine if the given sequence  is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7

Hence,

The recursive formula for given sequence is: a_n = a_{n-1}-7

And the terms will be expressed as:

a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/10341324
  • brainly.com/question/10081622

#LearnwithBrainly

6 0
4 years ago
Inverse function of y=f(x)=1-2/x^3
tia_tia [17]

Answer:

not sure

Step-by-step explanation:  not good at this stuf



6 0
3 years ago
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