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2 years ago

In an arithmetic series a1= -14 and a5=30 find the sum of the first 5 terms

Mathematics

1 answer:

Oxana [17]2 years ago

5 0

The sum of the 5 terms in the arithmetic series is 40.

Step-by-step explanation:

Step 1; First we need to determine the three values between a1= -14 and a5=30. The difference between the first and fifth value = 30 - (-14) = 30 + 14 = 44.

Since there are 4 values after a1 we divide the difference by the number of terms, the difference between each term = 44 / 4 = 11. So the difference between each term is 11.

Step 2; To find out the terms we just add the difference to the previous number.

a1 = -14.

a2 = -14 + 11 = -3.

a3 = -3 + 11 = 8.

a4 = 8 + 11 = 19.

a5 = 19 + 11 = 30.

So a1 + a2 + a3 + a4 + a5 = -14 -3 + 8 + 19 + 30 = 40.

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If an arrow is shot upward on Mars with a speed of 68 m/s, its height in meters t seconds later is given by

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Answer:

(a) dy/dt = 68 - 3.72t

(b) 64.28m/s

Step-by-step explanation:

Given y = 68t - 1.86t²

Average Speed is rate of chance of distance with respect to time. Written as dy/dt

To obtain dy/dt, we differentiate y with respect to t, doing that, we have

dy/dt = 68 - 2(1.86)t

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(a) dy/dt = 68 - 3.72t

(b) To estimate the speed when t = 1, we substitute t = 1 in dy/dt .

dy/dt at t = 1 is

68 - 3.72(1)

= 68 - 3.72

= 64.28

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3 years ago

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3 years ago

What is the lateral area of a right cylinder if the radius of the base is 12 mm and the altitude of the cylinder is 5 times the

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3 years ago

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The equation for the path of the ball can be measured using a regression model calculator which produced the quadratic model ;

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The table given :

Time, x : __0.5 ___ 1 ____ 1.5 ____ 2

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Using technology such as a quadratic regression calculator or excel ;

The quadratic regression model obtained is :

y(x) = - 16x² + 36x + 4

The height after, 1.7 seconds, x = 1.7 can be calculated thus :

Put x = 1.7 in the equation :

y(1.7) = - 16(1.7)² + 36(1.7) + 4
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Therefore, the height of the baseball after 1.7 seconds will be 18.89 feets.

Learn more : brainly.com/question/22939512

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1 year ago