Answer:
a) A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers; b) A series is divergent if it is not convergent. A series is convergent if the sequence of partial sums is a convergent sequence.
Step-by-step explanation:
A sequence is a pattern. It is an ordered list of objects, such as numbers, letters, colors, etc.
A series is a sum of a sequence.
A divergent series is one that is not convergent.
A convergent series is one in which the sequence of partial sums approaches a limit; this means the partial sums form a convergent sequence.
Answer:
obtuse
Step-by-step explanation:
2b: If x is 2.1, then one side of the rectangle is 2.1, and another is 2.1*5=10.5. Thus, the perimeter is 2*(2.1+10.5)=2*12.6=25.2.
3: One side of the square with side-length three will not be on the outside, so we have 3*3=9 inches perimeter from the square of side-length 3. The square of side-length 6 has 3 from the top side missing from the outer perimeter, because it coincides with a side of the square of side-length three. This square contributes 6*4-3=33 inches. The total perimeter is 33+9=42 inches.