Question 1:
Summation Notation Property (ii) states that:
A. The summation of a constant times a sequence is equal to the sequence times the summation
of the constant.
B. The summation of a constant times a sequence is equal to the constant times the summation
of the sequence.
C. The summation of a constant times a sequence is equal to the number of terms being added
times the sequence.
Question 2:
Summation Notation Property (iii) states that:
A. Any sum of n terms can be broken into two smaller sums, from 1 to n and from 1 to n
B. The sum of the first n terms of a sequence can be split into two sums: the sum of the first m
terms, plus the sum of the (m+1)th to nth terms.
C. The sum of the first n terms of a sequence can be split into two sums: the sum of the first m
terms, plus the sum of the mth to nth terms.
Question 3:
Summation Notation Property (iv) states that:
A. you may adjust the indices of summation and get the same sum just by adding a constant c to
both the lower and upper indices, as well as any index within the summation.
B. you may adjust the indices of summation and get the same sum just by adding a constant c to
both the lower and upper indices, as well as subtracting c from any index within the summation.
C. you may adjust the indices of summation and get the same sum just by adding a constant c to
both the lower and upper indices.
Solution
Summation Notation Property (ii) states that: B. The summation of a constant times
a sequence is equal to the constant times the summation of the sequence. Summation Notation
Property (iii) states that: B. The sum of the first n terms of a sequence can be split into two
sums: the sum of the first m terms, plus the sum of the (m+1)th to nth terms. Summation
Notation Property (iv) states that: A. you may adjust the indices of summation and get the same
sum just by adding a constant c to both the lower and upper indices, as well as any index within
the summation..
Question 1 Summation Notation Property (ii) states that A..pdf
1. Question 1:
Summation Notation Property (ii) states that:
A. The summation of a constant times a sequence is equal to the sequence times the summation
of the constant.
B. The summation of a constant times a sequence is equal to the constant times the summation
of the sequence.
C. The summation of a constant times a sequence is equal to the number of terms being added
times the sequence.
Question 2:
Summation Notation Property (iii) states that:
A. Any sum of n terms can be broken into two smaller sums, from 1 to n and from 1 to n
B. The sum of the first n terms of a sequence can be split into two sums: the sum of the first m
terms, plus the sum of the (m+1)th to nth terms.
C. The sum of the first n terms of a sequence can be split into two sums: the sum of the first m
terms, plus the sum of the mth to nth terms.
Question 3:
Summation Notation Property (iv) states that:
A. you may adjust the indices of summation and get the same sum just by adding a constant c to
both the lower and upper indices, as well as any index within the summation.
B. you may adjust the indices of summation and get the same sum just by adding a constant c to
both the lower and upper indices, as well as subtracting c from any index within the summation.
C. you may adjust the indices of summation and get the same sum just by adding a constant c to
both the lower and upper indices.
2. Solution
Summation Notation Property (ii) states that: B. The summation of a constant times
a sequence is equal to the constant times the summation of the sequence. Summation Notation
Property (iii) states that: B. The sum of the first n terms of a sequence can be split into two
sums: the sum of the first m terms, plus the sum of the (m+1)th to nth terms. Summation
Notation Property (iv) states that: A. you may adjust the indices of summation and get the same
sum just by adding a constant c to both the lower and upper indices, as well as any index within
the summation.
