MIDTERM 1 Math 247 Practice
NAME:
1. [2] TRUE/FALSE: Circle T in each of the following cases if the statement is always
true. Otherwise, circle F.
TFΣn
k=1c=cn for a constant c
T F All continuous function are Reimann integrable.
T F 1
xis a continuous function.
T F d
dx Rx
0sin u−e−udu = sin x−e−x
Show your work for the following problems. The correct answer with no
supporting work will receive NO credit.
2. [3] Write the following in sigma notation
1
2+1+3
2+4
2+5
2
3. [10] Use the identies:
Σn
k=1k2=n(n+1)(2n+1)
6Σn
k=1k=n(n+1)
2
to calculate the following:
Σ9
k=1(−1)k+ 2k2Σ5
k=1(k+ 2)(k−1)
1
