The 10th terms of given arithmetic sequence is -33
Further explanation:
The arithmetic sequence is a sequence where common difference is same for all consecutive terms.
An explicit formula is a general formula that is used to calculate terms of an arithmetic sequence directly.
Given
Here n is the term number
As we have to find the 10th term, we will put n=10
The 10th terms of given arithmetic sequence is -33
Keywords: Arithmetic sequence, Explicit formula
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We can observe that the function describing the graph is linear and so the equation is of linear nature:
Numbers m and n have special names. m is called the slope, n is called y-intercept.
From the graph one can tell that the line intercepts y-axis at y = -1 that means n = -1. What about the slope you say?
The slope can be calculated using two points' coordinates that lie on the line:
Now our line has an equation,
Hope this helps.