Consider the finite linear pattern: $$ 20 ; 17 ; 14 ; \ldots ;-103 $$ $$ 3.1 \quad $$ Write down the $$ 4^{ ext {th }} $$ term of the pattern. $$ 3.2 \quad $$ Determine the expression for the $$ n^{ ext {th }} $$ term. 3.3 Calculate the number of terms in the sequence. $$ 3.4 \quad $$ Which term is the first to have a negative value? $$ 3.5 \quad $$ What is the value of the $$ 19^{ ext {th }} $$ even-valued term in the sequence?

Question

Consider the finite linear pattern: $$ 20 ; 17 ; 14 ; \ldots ;-103 $$ $$ 3.1 \quad $$ Write down the $$ 4^{	ext {th }} $$ term of the pattern. $$ 3.2 \quad $$ Determine the expression for the $$ n^{	ext {th }} $$ term. 3.3 Calculate the number of terms in the sequence. $$ 3.4 \quad $$ Which term is the first to have a negative value? $$ 3.5 \quad $$ What is the value of the $$ 19^{	ext {th }} $$ even-valued term in the sequence?

Mccoy Harper · Accepted Answer

- 3.1 The 4th term is 11. - 3.2 The nth term is $$ a_n = 23 - 3n $$. - 3.3 There are 42 terms in the sequence. - 3.4 The first negative term is the 8th term. - 3.5 The 19th even-valued term is -88.

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