Analyze the given sequence for its rule and identify the next three term.
1. 16, 32, 64, 128, _____, _____, _____.
2. 22, 21, 25, 24, 28, 27, ______, _____, _____.
3. 1, 8, 27, 64, 125, _____, _____, _____.
4. 41, 39, 37, 35, 33, _____, _____, _____.
Answers
Answer:
1. 256,512,1024
2.31,30,34,33
3. 216,343,512
4. 31,29,27.....
Step-by-step explanation:
1.sequential numbers are multiplied by 2.
2. first term is subtracted by 1 then the answer is added by 4... same as to be followed for the sequence
3. given sequences are cube root
4. subtracted the term by 2 for the continuation of sequence
Given:
1. 16, 32, 64, 128, _____, _____, _____.
2. 22, 21, 25, 24, 28, 27, ______, _____, _____.
3. 1, 8, 27, 64, 125, _____, _____, _____.
4. 41, 39, 37, 35, 33, _____, _____, _____.
To Find : Analyze the given sequence for its rule
identify the next three term.
Solution:
1. 16, 32, 64, 128, _____, _____, _____.
16 *2 = 32 , 32 * 2 = 64 , 64 * 2 = 128
Tₙ = 2 Tₙ₋₁
Next Three terms will be 256 , 512 , 1024
2. 22, 21, 25, 24, 28, 27, ______, _____, _____.
22 - 1 = 21 , 21 + 4 = 25 ,
25 - 1 = 24 , 24 + 4 = 28
Sequence is alternate subtract 1 then Add 4
28 - 1 = 27 , 27 + 4 = 31
31 - 1 = 30 , 30 + 4 = 34
Hence next three terms will be 31 , 30 , 34
3. 1, 8, 27, 64, 125, _____, _____, _____.
1³ = 1 , 2³ = 8 , 3³ = 27 , 4³ = 64 , 5³ = 125
Tₙ = n³
Next Three terms will be 6³ = 216 , 7³ = 343 , 8³ = 512
4. 41, 39, 37, 35, 33, _____, _____, _____.
41 - 2 = 39 , 39 - 2 = 37 , 37 - 2 = 35 , 35 - 2 = 33
Tₙ = Tₙ₋₁ - 2
Next Three terms will be 31 , 29 , 27
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