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24HourAnswers.com Online Homework Focused Exercises for Math SAT Skill Set 17: Sequences
Many of the problems in this exercise set came from The College Board, writers of the SAT exam.
1.
7, 15, 31, 63, ... The first term in the sequence above is 7, and each term after the first is determined by multiplying the preceding term by m and then adding p. What is the value of m ? (A) (B) (C) (D) (E) 1 2 3 4 9
2.
2, 6, 14, 30, ... In the sequence above, the first term is 2. Each number after the first is obtained by adding 1 to the preceding number and then doubling the result. What is the sixth number in the sequence? (A) (B) (C) (D) (E) 122 123 124 125 126
3.
150, 30, 6, ...
1f f f In the sequence above, each term after the 1st term is f of the term 5 preceding it. What is the 5th term of this sequence?
4. The first term of a sequence is 20 and the second term is 8. The third term and each term thereafter is the average (arithmetic mean) of the two terms immediately preceding it. What is the value of the first term in the sequence that is not an integer?
(A) (B) (C) (D) (E)
22.6 1.23 24.7 12.5 6.8
5.
a, 3a, ...
The first term in the sequence above is a, and each term after the first is 3 times the preceding term. If the sum of the first 5 terms is 605, what is the value of a ? 6. 8, 17, 26, 35, 44, ... The first 5 terms in a sequence are shown above. Each term after the first is found by adding 9 to the term immediately preceding it. Which term in ` a this sequence is equal to 8 26 @ 1 9 ? (A) (B) (C) (D) (E) 7. The 8th The 9th The 25th The 26th The 27th
In the repeating decimal 0.1246812468... where the digits 12468 repeat, which digit is in the 4,000th place to the right of the decimal point? (A) (B) (C) (D) (E) 1 2 4 6 8
8.
The first term of a sequence of numbers is @ 3 . Each term after the first is obtained by multiplying the preceding term by @ 1 and then subtracting 1. What is the 75th term of the sequence? (A)
Many of the problems in this exercise set came from The College Board, writers of the SAT exam.
1.
7, 15, 31, 63, ... The first term in the sequence above is 7, and each term after the first is determined by multiplying the preceding term by m and then adding p. What is the value of m ? (A) (B) (C) (D) (E) 1 2 3 4 9
2.
2, 6, 14, 30, ... In the sequence above, the first term is 2. Each number after the first is obtained by adding 1 to the preceding number and then doubling the result. What is the sixth number in the sequence? (A) (B) (C) (D) (E) 122 123 124 125 126
3.
150, 30, 6, ...
1f f f In the sequence above, each term after the 1st term is f of the term 5 preceding it. What is the 5th term of this sequence?
4. The first term of a sequence is 20 and the second term is 8. The third term and each term thereafter is the average (arithmetic mean) of the two terms immediately preceding it. What is the value of the first term in the sequence that is not an integer?
(A) (B) (C) (D) (E)
22.6 1.23 24.7 12.5 6.8
5.
a, 3a, ...
The first term in the sequence above is a, and each term after the first is 3 times the preceding term. If the sum of the first 5 terms is 605, what is the value of a ? 6. 8, 17, 26, 35, 44, ... The first 5 terms in a sequence are shown above. Each term after the first is found by adding 9 to the term immediately preceding it. Which term in ` a this sequence is equal to 8 26 @ 1 9 ? (A) (B) (C) (D) (E) 7. The 8th The 9th The 25th The 26th The 27th
In the repeating decimal 0.1246812468... where the digits 12468 repeat, which digit is in the 4,000th place to the right of the decimal point? (A) (B) (C) (D) (E) 1 2 4 6 8
8.
The first term of a sequence of numbers is @ 3 . Each term after the first is obtained by multiplying the preceding term by @ 1 and then subtracting 1. What is the 75th term of the sequence? (A)