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Descrbe about Arithmetic and Geometric Sequences?
When numbers are listed according to a particular pattern, we call the list a sequence. In a sequence, the numbers are separated by commas.Each number in a sequence is called a term. Example 1:2, 4, 6, 8, 10, 12, ... The pattern is add 2 to the previous term.A sequence in that you always add or subtract the same number is called an arithmetic sequence.
Example 2:2, 6, 18, 54, 162, ...The pattern is multiply the previous term through 3.A sequence in that you always multiply or divide by the same number is known as a geometric sequence.
Determine the ratio in which the line 2x + y -4 = 0 divide the line segment joining the points A (2,-2) and B (3, 7).Also find the coordinates of the point of division. [Ans:2 :
lnx(1+x)
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