Mike and his bestfriend dan have the same birthday, but mike is three years older than dan. Let the variable x represent mikes a
ge and y represent dans age. Which graph represents the relationship between Dans age and Mikes age ?
2 answers:
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Answer:
n + y
Step-by-step explanation:
a² - b² = (a +b)(a - b)
÷
{ (n + y) in the denominator and numerator will be cancelled ;
(n - y) in the denominator and numerator will be cancelled
= n + y
1, a.) The two specific conjectures are in the first image.
1, b.) The two general conjectures are in the second image.
2, a.) Two specific conjectures for this pattern are:
- The common difference between two consecutive terms is 3.
- And the given difference is A.P.
2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.
For finding its nth term we can use the formula: a(n) = a + (n-1) x d.
2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.
