I have a math midterm tomarrow so PLEASE help me out... Find the missing values

Question

I have a math midterm tomarrow so PLEASE help me out... Find the missing values of the following arithmeticsequence. ...-26,___,___,___,___,24,... The explicit equation for an arithmetic sequence istn = t1+ (n-1) d (d= common difference) Please explain your process in words as well as the writtenout steps. I have a math midterm tomarrow so PLEASE help me out... Find the missing values of the following arithmeticsequence. ...-26,___,___,___,___,24,... The explicit equation for an arithmetic sequence istn = t1+ (n-1) d (d= common difference) Please explain your process in words as well as the writtenout steps.

Explanation / Answer

Okay, so the formula for an arithmetic sequence is tn =t1 + (n - 1) d. Since -26 is the first term theygave you, it is t1. Next, we need to find d. The sequence is arithmetic so the pattern has to increase (ordecrease) by the same number each time in order to get the nextterm. The numerical difference between -26 and 24 is 50 (24 --26 a.k.a 24 + 26 = 50). 24 is the 6th overall term in theseries and the 5th from -26, so divide 50 by 5 to get the commondifference (d) between each term. The common difference isthe numerical difference divided by the number of termsin-between. Now you have all the missing variables to theequation. tn = -26 + (n-1) 10. Plug in n = 2 for the first missing term (the second overall is whyn=2 not 1) and so on and you get the series: -26, -16, -6, 4, 14, and 24 for the sixth term, which proves thesequence rule works because they gave that 24 was the sixthterm. Hope this helps and good luck!

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