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4 years ago

The first term of a sequence is 35 and the difference between the terms is always 8. a) Determine the nth term of the sequence.

Mathematics

1 answer:

s2008m [1.1K]4 years ago

8 0

Answer:

Step-by-step explanation:

$a_1=35\\d=8\\\\a_n=a_1+d(n-1)\\\\a_n=35+8(n-1)\\a_n=35+8n-8\\a_n=8n+27$

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madreJ [45]

a. 3h = -12 + 5s

b. Speed = 51. 6 miles per hour

c. Height = 76 feet

<h3>How to determine the value</h3>

Given the function;

5s - 3h = 12

Where;

s is the speed in miles per hour
h is the height in feet

a. To solve for 3h

We have;

- 3h = 12 - 5s

3h = -12 + 5s

b. If the height is 82 feet , then

5s - 3(82) = 12

5s - 246 = 12

collect like terms

5s = 12 + 246

5s = 258

Make 's' the subject

s = 258/ 5

s = 51. 6 miles per hour

c. If the speed is 48 miles per hour, we have;

5(48) - 3h = 12

240 - 3h = 12

collect like terms

-3h = 12 - 240

-3h = -228

Make 'h' the subject

h = -228/ -3

h = 76 feet

Thus, the speed and height are 51. 6 miles per hour and 76 feet respectively.

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2 years ago

Answer 10,11 and 12 for 100 points

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You basically take out their greatest common factor.

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4 years ago

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