408 McGRAW-HILL’S SAT
SAT Practice 1: Sequences
- The first term in a sequence is x. Each subse-
quent term is 3 less than twice the preceding
term. What is the fifth term in the sequence?
(A) 8 x 21
(B) 8 x 15
(C) 16x 39
(D) 16x 45
(E) 32x 93
(^1) / 8 , (^1) / 4 , (^1) / 2 ,...
- In the sequence above, each term after the
first is equal to the previous term times a con-
stant. What is the value of the 13th term?
(A) 2^7
(B) 2^8
(C) 2^9
(D) 2^10
(E) 2^11 - The first term in a sequence is 400. Every sub-
sequent term is 20 less than half of the imme-
diately preceding term. What is the fourth
term in the sequence?
4. In the number 0.148285, the digits 148285 re-
peat indefinitely. How many of the first 500
digits after the decimal point are odd?
(A) 83
(B) 166
(C) 167
(D) 168
(E) 332
5, 6, 5, 6, 6, 5, 6, 6, 6, 5, 6, 6, 6, 6, 5,...
- In the sequence above, the first 5 is followed by
one 6, the second 5 is followed by two 6s, and so
on. If the sequence continues in this manner,
how many 6s are there between the 44th and
47th appearances of the number 5?
(A) 91
(B) 135
(C) 138
(D) 182
(E) 230 - The first term in a sequence is 5, and each
subsequent term is 6 more than the immedi-
ately preceding term. What is the value of the
104th term?
(A) 607
(B) 613
(C) 618
(D) 619
(E) 625 - What is the units digit of 3^36?
(A) 0
(B) 1
(C) 3
(D) 7
(E) 9
....1 2 3 4 5 7 8 9610 2 3 4 5 7 8 9610 2 3 4 5 7 8 9610 2 3 4 5 7 8 96