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What is the 41st term of the arithmetic sequence where a1 = 15 and a15 = -41 ?
A) -157
B) -153
C) -149
D) -145
What is the sum of a 30-term arithmetic sequence where the first term is 74 and the last term is -100?
A) -468
B) -442
C) -416
D) -390
What is the 8th term of the geometric sequence 1, -4, 16, …?
A) 16,384
B) -4,096
C) 4,096
D) -16,384
What is the 7th term of the geometric sequence where a1 = -2 and a5 = -512?
A) -2,048
B) -8,192
C) 2,048
D) 8,192
3 Answers
- ?Lv 79 years agoFavorite Answer
1).
What is the 41st term of the arithmetic sequence
where a1 = 15 and a15 = -41 ?
d = 4; a41 = 15 - 160 = -145
Answer:
D) -145
2).
What is the sum of a 30-term arithmetic sequence
where the first term is 74 and the last term is -100?
S30 = 1/2*30(74 + -100) = 15*-26
Answer:
D) -390
3).
What is the 8th term of the geometric sequence 1, -4, 16, …?
r = -4; a8 = 1*(-4)^7 = -16,384
Answer:
D) -16,384
4).
What is the 7th term of the geometric sequence
where a1 = -2 and a5 = -512?
-2*r^4 = -512; r^4 = 256; r = 4
a7 = -2*4^6 = -8192
Answer:
B) -8,192