## The sum of 5 55 consecutive integers is 110 What is the fourth number in this sequence

Question

The sum of
5
55 consecutive integers is
110
What is the fourth number in this sequence

in progress 0
2 weeks 2021-09-13T14:27:06+00:00 1 Answer 0

1. Question:

The sum of  5  consecutive integers is  110
. What is the fourth number in this sequence

The fourth number in this sequence is 23

Step-by-step explanation:

Explanation:

Consecutive numbers  are numbers that come one after another with no numerical gaps. Like these:

4,
5
,
6
,
7
,
8  or these  17
,
18,
19
,
20
,
21

We need to find 5 consecutive integers that add up to 110.

Let’s call the first integer in the series

N  for  number
. The next integer will be

N
+
1  since it is  1 greater  than N
.

The next integers will be  N+
2
, N
+
3  and  N
+
4  since they are 2, 3 and 4 greater than  N  respectively.

N
+
(
N
+
1
)
+
(
N
+
2
)+(
N
+
3
)
+
(
N
+
4
)
=
110

Now remove parentheses and add like terms:

N
+
N
+
1
+
N
+
2
+
N
+
3
+
N
+
4
=
110

5N
+
10
=
110

Now finish simplifying:

5
N
+
10=
110

5
N
=
100

N
=
20

Since  N
=
20

our 5 consecutive numbers are:

20
,
21
,
22
,
23
,
24