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Vinil7 [7]
3 years ago
15

. Find the 20th term of the arithmetic sequence 15, 9, 3, -3

Mathematics
1 answer:
vova2212 [387]3 years ago
3 0

Answer:

a20 = -99

Step-by-step explanation:

hello :

the nth term in this  arithmetic sequence is : an = a1 + (n -1 )d

a1 = 15   a2 = 9       d = a2-a1 = 9-15 = -6  ( common difrence)

an = 15 + (n -1 )(-6)

an = 15+6-6n

an = -6n+21

the 20th term when n = 20 :  a20 = -6(20)+21 = -99

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Simplify the quadratic term by squaring the (x+1) term.
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Answer:

y =  -2x^2 -4x +1

Step-by-step explanation:

y-3 = -2 (x+1)^2

Foil (x+1)^2

(x+1)(x+1) = x^2 +x+x+1 = x^2 +2x+1

Substitute this back in

y-3 = -2(x^2 +2x+1)

Distribute

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Add 3 to each side

y-3+3 = -2x^2 -4x -2+3

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6 0
2 years ago
Allex has a $20 bill. At the corner store, he buys a
sineoko [7]

Answer:

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Step-by-step explanation:

7 0
3 years ago
45 plus what equals 90
Elanso [62]

Answer:

45

Step-by-step explanation:

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4 0
3 years ago
There are less than 200 apples in a box. It is known that 2, 3, 4, 5, or 6 kids can share these apples evenly. How many apples c
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Read 2 more answers
your teacher is giving you a test worth 100 points that contains 40 questions. there are 2point questions on the test. how many
kykrilka [37]
100 = 2t + 4f 
40= t + f
-----------
get t or f by itself first.

f = 40 - t : Then substitute it back into for f in the other equation
100 = 2t + 4f 
100= 2t +4(40-t) 
100= 2t + 160 - 4t
100 = -2t + 160
-160           -160

<u>-60 </u>= <u>-2t
</u>-2        -2

t = 30 (Then plug this into either equation to solve for f)

Therefore,
t = 30 questions
f = 10 questions
3 0
3 years ago
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