Could someone help me? Algebra 2? Please? ASAP! 10 points?

Question

A tuition scale for a state university shows an increase of $1,300 each year. If the initial cost was $21,000. What will the cost of tuition be in twenty three years? In complete sentences, explain how an arithmetic sequence was applied?

** I have the answer as $50,900.***    Is this right? Could someone please work this out for me???



What is the sum of a 17-term arithmetic sequence where the first term is 8 and the last term is -88? 
A) -542 
B) -680 
C) -893 
D) -954

Pranil · Accepted Answer

series is 21000 + (21000 + 1300), ...
Tn = a  + (n – 1)d
T23 = 21000 + (23 – 1)(1300)
= 21000 + (22)(1300)
= 49600

for 2nd question 
a = 8
Tn = – 88
d = ? 
-----

Nick · Answer

Part I:

nth term of an arithmetic sequence:

a_n = a_1 + (n-1)d

a_1 = 21000, d = 1300 and n = 24 because n=1 is year 1 so n=24 is 23 years later. Therefore:

a_24 = 21000 +24(1300) = 50900

Well done.

Part II:

Sum of an arithmetic sequence up to the nth term is:

S_n = (n/2)(2a_1 + (n-1)d)

a_1=8, n=17, a_1 + (n-1)d = -88

S_17 = (17/2)(8-88) = -680

B) is the answer here.

? · Answer

The answer to the first one is right, you multiply 1,300 by 23 and then add the answer to 21,000
not sure about the other one :)

bskelkar · Answer

21,000+(22)(1300)
17(8+(-88))/2

Anonymous · Answer

Sure. Pay me.

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Could someone help me? Algebra 2? Please? ASAP! 10 points?

5 Answers