Use sigma notation to represent the following series for the first 10 terms. 3 + (-6) + 12 + (-24) + ⋯

Step-by-step explanation:

Given:

To find: sigma notation to represent the given series for the first 10 terms

Solution:

Sigma notation is a form used to give a general expression for a sum of the values of variables. ∑ is used to denote sum

can be written as

Here,

So, sigma notation for the given series for the first 10 terms is

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5