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Dominik [7]
2 years ago
6

10. The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term? ​

Mathematics
2 answers:
Tanya [424]2 years ago
5 0

Answer:

-13

Step-by-step explanation:

"Arithmetic sequence" is a big clue, because it means you add on the same amount every time the term number goes up by 1, then add on the same amount to the numbers in the sequence (the list of numbers) see image There are of course formulas to find these missing numbers, but also, crunch it out sometimes so that it makes sense. And when the numbers in the question get crazy you can fall back on the formulas.

9966 [12]2 years ago
4 0

a_{5}=a+4d=11\\a_{10}=a+9d=41

Solve the above equations,

a_{10}-a_{5}=41-11\\a+9d-a-4d=30\\5d=30\\d=6\\a=11-24=-13

First term is -13.

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8 0
3 years ago
The length of a rectangular garden is 4 less than twice the width find the perimeter and area of the garden
sergeinik [125]

Answer:

Let w be the width. Then the length is 2w-4. So:

w(2w-4)=96

2w²-4w-96=0

w²-2w-48=0

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3 years ago
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Liono4ka [1.6K]

Answer:

A) Each of the smaller donations is $20.

B) The larger donation is greater than the smaller donations by $15.

Step-by-step explanation:

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7 0
3 years ago
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Find the common ratio of the sequence. –172, –86, –43, –21.5, . . .
seropon [69]
If you divide each number by the previous one, you get:

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4 0
3 years ago
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Jorge has saved $15.50. Janet saved 1/5 of the amount that Jorge saved. Rob saved 12 times as much of Janet. What is the total s
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Answer:

$55.80

Step-by-step explanation:

First, find how much Janet saved by finding 1/5 of 15.50:

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Then, find the total saved amount by adding them all together:

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= 55.8

So, they saved $55.80 in total

8 0
2 years ago
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