Prove that (n+5)^2 - (n+3)^2 is a multiple of 4 for all positive integer values of n.
1 answer:
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<h2>Answer:</h2>
11 and 15
<h2>Explanations:</h2>
Given the arithmetic sequence -1, 3, 7 __, __, you are to find the next two terms of the sequence.
The nth term of an arithmetic sequence is given as;
where:
• a is the ,first term
,• n is the ,number of terms
,• d is the ,common difference
From the given sequence;
a = -1
d = 3 - (-1) = 7 - 3 = 4
For the fourth term, n = 4;
For the fifth term, n = 5;
Therefore the next two terms of the arithmetic sequence are 11 and 15.