Consider the following number pattern: $$ 1 ;-3 ;-9 ;-17 ; \ldots $$ 2.1.1 Write down the next 2 terms of the sequence. 2.1 .2 Determine the general term for the number pattern. 2.1 .3 Determine the value of the $$ 30^{\text {th }} $$ term in the number pattern. 2.1 .4 Which term in the pattern will have a value of -7479 ? $$ 2.1+3=4 $$ Consider the following continuous pattern below that emerges when odd numbers are $$ 1+3+5=9 $$ $$ 1+3+5+9+7=16 $$ Hence calculate the value of the pattern: $$ 1+3+5+7+\ldots+1001 $$

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The next two terms are -27 and -39. The general term for the number pattern is $$ a_n = -n^2 + n + 1 $$. The 30th term is -869. The term with a value of -7479 is the 87th term. The sum of the first 501 odd numbers is 251001.

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