uence is formed with rule Tn = 2n + 3, which of the following is the correct number pattern?a.2, 3, 4, 5 ...b.3, 5, 7, 9 ...c.5, 7, 9, 11 ...d.1, 2, 3, 4 ...
Question
uence is formed with rule Tn = 2n + 3, which of the following is the correct number pattern?
- a. 2, 3, 4, 5 ...
- b. 3, 5, 7, 9 ...
- c. 5, 7, 9, 11 ...
- d. 1, 2, 3, 4 ...
Solution
The sequence is formed by the rule Tn = 2n + 3. This means that for each term in the sequence, you multiply the term number (n) by 2 and then add 3.
Let's apply this rule to the first four terms to see which option is correct:
- For the first term (n=1), T1 = 2*1 + 3 = 5
- For the second term (n=2), T2 = 2*2 + 3 = 7
- For the third term (n=3), T3 = 2*3 + 3 = 9
- For the fourth term (n=4), T4 = 2*4 + 3 = 11
So, the correct number pattern is 5, 7, 9, 11 ... which corresponds to option c.
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