Find the first several terms of a sequence with given two terms

Find the first several terms of a sequence with given two terms

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the first five terms of an arithmetic sequence given two terms, a_8 = 26 and a_12 = 42. It introduces the concept of arithmetic sequences and the common difference, d. The tutorial demonstrates how to calculate d by dividing the difference between the given terms by the number of intervals. Once d is found, the video shows how to backtrack to find the first term, a_1, and subsequently the first five terms of the sequence. The tutorial concludes with a brief mention of alternative methods to find a_1.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What values do you get for the first five terms of the arithmetic sequence if a sub 8 is 26 and the common difference is 4?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe an alternative method to find the first term of an arithmetic sequence without using the common difference.

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