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vekshin1
3 years ago
15

Find the 10th term of the arithmetic sequence -x + 9, 4x + 14, 9x + 19, ...

Mathematics
1 answer:
rusak2 [61]3 years ago
5 0

Answer:

44x + 54

Step-by-step explanation:

The nth term of an arithmetic sequence is given by :

Tn = a + (n - 1)d

d = common difference = T2 - T1

d = T2 - T1

a = first term = - x + 9

d = 4x + 14 - (-x + 9)

d = 4x + 14 + x - 9

d = 5x + 5

The 10th term:

T(10) = (-x + 9) + (10 - 1)*(5x + 5)

T(10) = - x + 9 + 9(5x + 5)

T(10) = - x + 9 + 45x + 45

T(10) = 44x + 54

Hence, the 10th term is 44x + 54

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(x-2):5=7:9

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8 0
3 years ago
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koban [17]

Answer:

She will be charged $180 once lets the account go past 6 months before making a payment.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

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In this question:

If she pays within 6 months, she is not charged any interest.

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3 0
3 years ago
In the diagram below, RA is parallel to ET, and RT is 21 units long. Find the length of ST
pav-90 [236]

Answer:

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Step-by-step explanation:

As RA is parallel to ET, the angle in R is equal to the angle in T, and the angle in A is equal to the angle in E, so the triangle RAS is similar to the triangle SET.

If RT is 21 units, we have that RS + ST = 21 -> RS = 21 - ST

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5 0
3 years ago
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