Hampton Chavez
02/18/2023 · High School
250 Consider the number pattern: \( 5 ;-2 ;-9 ;-16 ; \ldots \). a) Write down the next two terms in the sequence. b) Write the \( n^{\text {th }} \) 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: \( x+3 ; 2 x+5 ; 3 x+7 ; \ldots \).
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a) Next two terms: -23, -30
b) \( n^{\text{th}} \) 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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