What is arithmetic means between the following sequence...
a. 5, 10, 15, ... 150
b. -7, -14, -21, ... -623
a. 5, 10, 15, ... 150
b. -7, -14, -21, ... -623
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Answer:
A
Step-by-step explanation:
Notice that if we match up the first and last pairs in the sequence, we always have a pair that adds to
55
:
5
,
10
,
15
,
20
,
25
,
30
,
35
,
40
,
45
,
50
We see that:
5
+
50
=
55
−−
10
+
45
=
55
−−
15
+
40
=
55
−−
20
+
35
=
55
−−
25
+
30
=
55
−−
Thus, the sum of the entire sequence is just
5
groupings of
55
, which is
5
×
55
=
275
.