Answer :
Answer:
115
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 7 - 1 = 13 - 7 = 19 - 13 = 25 - 19 = 6
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = 6 , thus
a₂₀ = 1 + (19 × 6) = 1 + 114 = 115
We are required to find the 20th term of the linear sequence.
The 20th term of the linear sequence 1,7,13,19,25 is 115
Given:
1, 7, 13, 19, 25
nth term = a + (n - 1)d
where,
n = number of terms
= 20
a = first term
= 1
d = common difference = 7 - 1
= 6
So,
nth term = a + (n - 1)d
20th term = 1 + (20 - 1)6
= 1 + (19)6
= 1 + 114
= 115
20th term = 115
Therefore, 20th term of the linear sequence 1,7,13,19,25 is 115
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