Task 6 Number Patterns revision.docx Task 6 Finite Mathematics Task 6: Number Patterns

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Task 6 Number Patterns revision.docx Task 6 Finite Mathematics Task 6: Number Patterns A. Provide the first five terms of an arithmetic or geometric sequence that has a first term higher than 10 a... nd a common difference or ratio that is positive but not 1. a1= 15, a2=20, a3=25, a 4=30, a5 =35 1. Using the general formula for either the arithmetic or geometric sequence, derive the specific nth term formula for the sequence from part A, showing all steps. an =a1 +( n ˆ’1 ) d an =15 +( n ˆ’1 ) ( 5 ) an =15 +5 n ˆ’5 an =5 n+10 2. Find the 30th term of the sequence from part A, using the nth term formula from part A1 and showing all work. an =a1 +( n ˆ’1 ) d a30=5 ( 30 )+10 an =15 +( n ˆ’1 ) ( 5 ) a30=150 + 10 an =15 +5 n ˆ’5 a30=160 an =5 n+10 B. Explain how to. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . [Show More]

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