250 Consider the number pattern: $$ 5 ;-2 ;-9 ;-16 ; \ldots $$. a) Write down the next two terms in the sequence. b) Write the $$ n^{ ext {th }} $$ term in the sequence in the form $$ T_{n}= $$ c) Which term in the sequence has a value of -289 ? d) Is -214 aterm in the sequence? Justify your answer. 3. Consider the number pattern: $$ x+3 ; 2 x+5 ; 3 x+7 ; \ldots $$.

Question

250 Consider the number pattern: $$ 5 ;-2 ;-9 ;-16 ; \ldots $$. a) Write down the next two terms in the sequence. b) Write the $$ n^{	ext {th }} $$ term in the sequence in the form $$ T_{n}= $$ c) Which term in the sequence has a value of -289 ? d) Is -214 aterm in the sequence? Justify your answer. 3. Consider the number pattern: $$ x+3 ; 2 x+5 ; 3 x+7 ; \ldots $$.

UpStudy AI · Accepted Answer

a) Next two terms: -23, -30 b) $$ n^{	ext{th}} $$ term: $$ T_n = 12 - 7n $$ c) Term with value -289: Term 43 d) -214 is not a term in the sequence.

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