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Crank
3 years ago
5

Find the sum of the 30th term of the following terms 9,17,25

Mathematics
2 answers:
Alchen [17]3 years ago
4 0

Answer:the sum of the first 30 terms is 3750

Step-by-step explanation:

The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

n = 200 terms

a = 9

d = 8

Therefore, the sum of the first 30 terms, 30 would be

S30 = 30/2[2 × 9 + (30 - 1)8]

S30 = 15[18 + 29 × 8]

S30 = 15[18 + 232]

S30 = 15[18 + 232]

S30 = 3750

maria [59]3 years ago
3 0
The equation is arithmetic so y= 8x+1. plug in 30 for x. y= 8(30)+1 and y=241!
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Tan(x-y) if cscx=13/5 and coty=4/3
ehidna [41]

Answer:

tan(x-y) = -16/63

Step-by-step explanation

Tan(x-y) if cscx=13/5 and coty=4/3

Given

coty = 4

1/tany = 4/3

Cross multiply

tan y = 3/4

Also since cscx = 13/5

1/sinx = 13/5

sinx = 5/13

Since sinx = opp/hyp

opp = 5

hyp = 13

Get the adjacent

hyp² = opp²+adj²

13² = 5²+adj²

adj² = 13² - 5²

adj² = 169 - 25

adj² = 144

adj = 12

cosx = adj/hyp

cosx = 12/13

tanx = sinx/cosx

tanx = (5/13)/(12/13)

tanx = 5/13 * 13/12

tan x = 5/12

tan(x-y) = tanx - tany/1+tanxtany

tan(x-y) = (5/12 - 3/4)/1+(5/12)(3/4)

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tan(x-y) = -4/12/(21/16)

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tan(x-y) = -16/63

3 0
3 years ago
Explain please hurry ASAP
Nuetrik [128]

Answer:

x = 4

Step-by-step explanation:

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6 0
3 years ago
The length of a rectangle is 5 inches more than 3 times the width. If the area of the rectangle is 68 square inches, what is the
Paladinen [302]

Answer:

Width=4, and Length=17

Step-by-step explanation:

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now make it an equation (3x+5) (x) = 68

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ZanzabumX [31]

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80 minutes

Step-by-step explanation:

1 hour=60 minutes

2 hours=120 minutes

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8 0
3 years ago
The length of a piece of ribbon is 250 millimeters.<br> Which is the equivalent length in meters?
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Step-by-step explanation:

8 0
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