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maw [93]
3 years ago
12

Find the 25th term of the arithmetic sequence when a1 = -14 and d = -5

Mathematics
2 answers:
aniked [119]3 years ago
7 0

Answer:easy

Step-by-step explanation:

25 terms=a+24d

=-14+24×(-5)

=-14-120

=-134

Lyrx [107]3 years ago
6 0

Answer:

-106

Step-by-step explanation:

the arithmetic equation is

an=a1+(n-1)d

a(25th)=14+(25-1)(-5)

14+(24)(-5)

14+(-120)

14-120

a25=-106

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First, 9.8 (Gravity) times 3 (time) equals 29.4, which is the velocity after 3 seconds. The kinematic equation for change in position that uses the variables we have is:
delta x= (v)(t) -0.5(acceleration)(time)^2
delta x= 29.4 times (3) - 0.5 (9.8) times 9
delta x= 44.1
100 minus 44.1 equals 55.9, which is the answer for part a.

Tell me if you need any clarification

PART B:
The kinematic equation for this is:
delta x= (initial velocity) times time plus 0.5 (a)(time)^2
100=(0)times(x) plus 0.5 (a)(time)^2
100=0.5(9.8)(x)^2
100=4.9x^2
100/4.9 is approxamitely 20.4.
The squareroot of this is approxamitely 4.5.
4.5 seconds

Tell me if you need any clarification
3 0
3 years ago
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