Generate the next three terms for the following number sequences and give an appropriate name to the sequence.a.1,4,9,16,25,36,___,___,___1,4,9,16,25,36,___,___,___+ Workspace+ Check answerb.1,1,2,3,5,8,13,___,___,___1,1,2,3,5,8,13,___,___,___+ Workspace+ Check answerc.1,8,27,64,125,___,___,___1,8,27,64,125,___,___,___+ Workspace+ Check answerd.2,3,5,7,11,13,17,___,___,___2,3,5,7,11,13,17,___,___,___+ Workspace+ Check answere.4,6,8,9,10,12,14,15,___,___,___4,6,8,9,10,12,14,15,___,___,___+ Workspace+ Check answerf.121,131,141,151,___,___,___121,131,141,151,___,___,___+ Workspace+ Check answer
Question
Generate the next three terms for the following number sequences and give an appropriate name to the sequence.a.1,4,9,16,25,36,,,1,4,9,16,25,36,,,+ Workspace+ Check answerb.1,1,2,3,5,8,13,,,1,1,2,3,5,8,13,,,+ Workspace+ Check answerc.1,8,27,64,125,,,1,8,27,64,125,,,+ Workspace+ Check answerd.2,3,5,7,11,13,17,,,2,3,5,7,11,13,17,,,+ Workspace+ Check answere.4,6,8,9,10,12,14,15,,,4,6,8,9,10,12,14,15,,,+ Workspace+ Check answerf.121,131,141,151,,,121,131,141,151,,,+ Workspace+ Check answer
Solution
Sure, here are the next three terms for each sequence:
a. 49, 64, 81. This sequence is called "Perfect Squares".
b. 21, 34, 55. This sequence is called "Fibonacci Sequence".
c. 216, 343, 512. This sequence is called "Cubic Numbers".
d. 19, 23, 29. This sequence is called "Prime Numbers".
e. 16, 18, 20. This sequence is a combination of "Even Numbers" and "Square Numbers".
f. 161, 171, 181. This sequence is "Numbers with 1's on the ends and increasing middle digit".
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