Matchsticks are used to make a sequence of
1 answer:
Answer:
Tn = 1 + 2n
Step-by-step explanation:
Given the arithmetic sequence
3 , 5 , 7 ...
The nth term of an AP is expressed as;
Tn = a + (n-1)d
a is the first term = 3
d is the common difference = 5-3 = 7-5 = 2
n is the number of terms
Substitute
Tn = 3 + (n-1)(2)
Tn = 3 + 2n-2
Tn = 1 + 2n
Hence the nth term rule for the number of matchsticks in pattern n is 1 + 2n
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