Question 1What is the 100th term of the sequence 7,4,1,-2...Hint: create an explicit formulaA)304B)-290C)-304D)290
Mathematics · College · Mon Jan 18 2021
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Given the arithmetic sequence:
7, 4, 1, -2
Common Difference
= 4 - 7
d = -3
a1 = 7
Formula for Arithmetic Sequence:
An = A1 + ( n - 1 ) d
Find the 100th term.
Solution:
Substitute the value to the formula for Arithmetic sequence.
An = A1 + ( n - 1 ) -3
A100 = 7 + ( 100 - 1 ) -3
A100 = 7 + (99) -3
A100 = -290
Final answer:
A100 = -290