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.
This can be put into a formula like so:
Since they are 6 consecutive even numbers, they will alternate odd/even/odd/even.
x, x+2, x+4, x+6, x+8, x+10 = 126
Simplify
6x + 30 = 126
6x = 96
x = 16
And you want the fourth number, so plug the x value back into the equation of 'x+6' and you will get 16+6 which = 22.
Foil, and should get 64-11 which equals 53.
