QuestionFind the next four terms of the sequence given the values: 16, 25, 36, 49, 64.
Studdy Solution
STEP 1
Assumptions1. The sequence is with known values which are16,25,36,49,64 respectively. . The sequence follows a certain pattern which we need to determine.
STEP 2
We observe the given sequence to identify a pattern.
STEP 3
We notice that each number in the sequence is a perfect square.
STEP 4
We can see that the base of the square for each term in the sequence is increasing by1 for each subsequent term.
STEP 5
We can now use this pattern to calculate the next four terms in the sequence.
STEP 6
Calculate the values of .
The next four values of the sequence are81,100,121,144.
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