Find the sum of the first 30 terms of the sequence below. an=4n+1
2 answers:
Answer: The sum of first 30 terms of the given sequence is 1890.
Step-by-step explanation: We are given to find the sum of first 30 terms of the following sequence :
The first few terms of the above sequence are
So, the given sequence is an arithmetic one with first term 5 and common difference
d = 9 - 5 = 13 - 9 = 17 - 13 = . . . = 4.
Therefore, the sum of first 30 terms will be
Thus, the sum of first 30 terms of the given sequence is 1890.
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Answer:
see below for a graph
Step-by-step explanation:
To draw a graph on a grid, locate the point (4, -2) and use the slope to find another point. One such point will be 1 to the left and up 3*, at (3, 1). With two points, you can draw the line through them to complete the graph.
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For a graphing tool that requires an equation, the point-slope form of the equation can be used:
y -k = m(x -h) . . . . . a line of slope m through point (h, k)
For the given slope and point, the equation of the line is ...
y +2 = -3(x -4)
y = -3x +10
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* The slope is "rise" over "run". The slope of -3 means that a <em>run</em> of +1 will result in a <em>rise</em> of -3. The given point is already below the x-axis, so we don't really want to find more points farther down. In order to go up on a line with negative slope, we must choose a point to the left of the given one.
