Question

QUESTION 2 \( 2.1 \quad \) Given the quadratic pattern: \( 5 ; 10 ; 17 ; 26 ; \ldots \) 2.1.1 Write down the next TWO terms of the pattern. 2.1.2 Determine the formula for the \( n^{\text {th }} \) term of the pattern. (4) 2.1.3 Which term of the pattern will have a value of 1765 ? (4) 2.2 The first 24 terms of an arithmetic series are: \( 35+42+49+\ldots+196 \). Calculate the sum of ALL natural numbers from 35 to 196 that are NOT divisible by 7 . (5) [15]

          QUESTION 2
\( 2.1 \quad \) Given the quadratic pattern: \( 5 ; 10 ; 17 ; 26 ; \ldots \)
2.1.1 Write down the next TWO terms of the pattern.
2.1.2 Determine the formula for the \( n^{\text {th }} \) term of the pattern.
(4)
2.1.3 Which term of the pattern will have a value of 1765 ?
(4)
2.2 The first 24 terms of an arithmetic series are: \( 35+42+49+\ldots+196 \).

Calculate the sum of ALL natural numbers from 35 to 196 that are NOT divisible by 7 .
(5)
[15]

QUESTION 2
2.1 Given the quadratic pattern: 5 ; 10 ; 17 ; 26 ; …
2.1.1 Write down the next TWO terms of the pattern.
2.1.2 Determine the formula for the n^th term of the pattern.
(4)
2.1.3 Which term of the pattern will have a value of 1765 ?
(4)
2.2 The first 24 terms of an arithmetic series are: 35+42+49+…+196.

Calculate the sum of ALL natural numbers from 35 to 196 that are NOT divisible by 7 .
(5)
[15]

Added by Gregg M.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Gaurav Gupta

Step 1

- The given sequence is: 5, 10, 17, 26, ... - First differences: 10 - 5 = 5, 17 - 10 = 7, 26 - 17 = 9 - Second differences: 7 - 5 = 2, 9 - 7 = 2 (constant) Show more…

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QUESTION 2 \( 2.1 \quad \) Given the quadratic pattern: \( 5 ; 10 ; 17 ; 26 ; \ldots \) 2.1.1 Write down the next TWO terms of the pattern. 2.1.2 Determine the formula for the \( n^{\text {th }} \) term of the pattern. (4) 2.1.3 Which term of the pattern will have a value of 1765 ? (4) 2.2 The first 24 terms of an arithmetic series are: \( 35+42+49+\ldots+196 \). Calculate the sum of ALL natural numbers from 35 to 196 that are NOT divisible by 7 . (5) [15]