Explicit formulas Write the first four terms of the sequence {an}n=1 infinity. 9. an=1/10n 11. an = 1 + sin(pin/2) Recurrence re
lations Write the first four terms of the sequence {an} defined by the following recurrence relations. Enumerated sequences Several terms of a sequence {an}n=1 infinity are given. Find the next two terms of the sequence. Find a recurrence relation that generates the sequence (supply the initial value of the index and the first term of the sequence). Find an explicit formula for the general nth term of the sequence. 17. {1. 1/2, 1/4, 1/8, 1/16,....} 19. {1,2,4,8,16,...} 21. {1.3,9,27,81,...}
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Answer:
1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies
2) Now let's consider any real number a no matter positive or negative we will have that:
Or in the other case:
So then we can conclude that the expression is a general rule and is true
Step-by-step explanation:
For this case we can verify if the following expression is true or false:
The sum of x and it’s opposite is always zero?
If we want to proof this we need to show that for any number is true.
1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies
2) Now let's consider any real number a no matter positive or negative we will have that:
Or in the other case:
So then we can conclude that the expression is a general rule and is true