solve the 3,7,11,15,19 using arithmetic sequence
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solve the 3,7,11,15,19 using arithmetic sequence
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Answer:
99
Step-by-step explanation:
Solving to know the type of sequence:
7 - 3 = 4
11 - 7 = 4
15 - 11 = 4
19 - 15 = 4
Formula for the nth term of an arithmetic sequence:
aₙ = a₁ + (n - 1) (d) where
aₙ is the nth term
a₁ is the first term
n is the number of term we are looking for
d is the common difference.
Given:
aₙ = ?
a₁ = 3
n = 25
d = 4
Solution:
aₙ = a₁ + (n - 1) (d)
aₙ = 3 + (25 - 1) (4)
aₙ = 99
Therefore the 25th term of the sequence 3, 7, 11, 15, 19 is 99.