Pearson Moreno
06/16/2023 · Primary School
\( \begin{array}{ll}\text { c) } 1 ; 2 ; 4 ; 7 ; 11 ; 16 ; \ldots & \text { b) } 1 ; 8 ; 27 ; 64 ; 125 ; \ldots \\ \text { 4. Describe the following patterns in your own words, and then extend } \\ \text { sequence. } & \text { d) } 1 ; 1 ; 2 ; 3 ; 5 ; 8 ; 13 ; \ldots \\ \begin{array}{ll}\text { a) } 1 ; 3 ; 5 ; 7 ; 9 ; \ldots & \text { b) } 2 ; 1 ; 1 ; \frac{1}{2} ; \ldots \\ \text { c) } 6 ; 3 ; 0 ;-3 ;-6 ; \ldots & \text { d) } 1 ; 2 ; 4 ; 8 ; 16 ; \ldots \\ \text { e) } 4 ; 44 ; 484 ; 5324 ; \ldots & \text { f) } 1 ; 3 ; 6 ; 10 ; 15 ; \ldots\end{array} \\ \text { 5. Study the pattern below and answer the questions that follow. }\end{array} \)
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The sequences are described and extended as follows:
- a) Odd numbers starting from 1, next terms: 11, 13, 15, 17, ...
- b) Cubes of natural numbers, next terms: 216, 343, 512, 729, ...
- c) Sum of previous term and increasing integers, next terms: 22, 29, 37, ...
- d) Fibonacci sequence, next terms: 21, 34, 55, ...
- e) Decreasing by half, next term: 1/4, 1/8, ...
- f) Decreasing by 3, next terms: -9, -12, -15, ...
- g) Powers of 2, next terms: 32, 64, 128, ...
- h) Appending '4' to the previous term, next term: 53244, ...
- i) Triangular numbers, next terms: 21, 28, 36, ...
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