Consider the finite linear pattern: $$ 20 ; 17 ; 14 ; \ldots ;-103 $$ Write down the $$ 4^{ ext {th }} $$ term of the pattern. 3.2 Determine the expression for the $$ n^{ ext {th }} $$ term. 3.3 Calculate the number of terms in the sequence. 3.5 Which term is the first to have a negative value? What is the value of the $$ 19^{ ext {th }} $$ even-valued term in the sequence?

Question

Consider the finite linear pattern: $$ 20 ; 17 ; 14 ; \ldots ;-103 $$ Write down the $$ 4^{	ext {th }} $$ term of the pattern. 3.2 Determine the expression for the $$ n^{	ext {th }} $$ term. 3.3 Calculate the number of terms in the sequence. 3.5 Which term is the first to have a negative value? What is the value of the $$ 19^{	ext {th }} $$ even-valued term in the sequence?

Carlson Reese · Accepted Answer

- 4th term: 11 - $$ n^{	ext {th }} $$ term expression: $$ 23 - 3n $$ - number of terms: 42 - first negative term: 8th term - 19th even-valued term: -91

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