Question 14
Evaluate
a) $14 + 28 + 42 + 56 + \cdots + 700$
b) $1 + 2 − 3 + 4 + 5 − 6 + 7 + 8 − 9 + \cdots + 28 + 29 − 30$
c) $(2 + 4 + 6 + \cdots + 28 + 30) − (1 + 3 + 5 + 7 + \cdots + 27 + 29)$
d) $102 − 105 + 108 − 111 + \cdots + 144 − 147 + 150$
e) $1 \times 2 \times 3 + 2 \times 4 \times 6 + 3 \times 6 \times 9 + \cdots + 10 \times 20 \times 30$
f) $9751 \times 419 − 9700 \times 400 − 9751 \times 19$
Answer entry: Enter the six answers (a) through (f), separated by semicolons, without thousands separators.
**Editorial input note:** Use no spaces before or after semicolons.
a) $14 + 28 + 42 + 56 + \cdots + 700$
b) $1 + 2 − 3 + 4 + 5 − 6 + 7 + 8 − 9 + \cdots + 28 + 29 − 30$
c) $(2 + 4 + 6 + \cdots + 28 + 30) − (1 + 3 + 5 + 7 + \cdots + 27 + 29)$
d) $102 − 105 + 108 − 111 + \cdots + 144 − 147 + 150$
e) $1 \times 2 \times 3 + 2 \times 4 \times 6 + 3 \times 6 \times 9 + \cdots + 10 \times 20 \times 30$
f) $9751 \times 419 − 9700 \times 400 − 9751 \times 19$
Answer entry: Enter the six answers (a) through (f), separated by semicolons, without thousands separators.
**Editorial input note:** Use no spaces before or after semicolons.