FIND THE 6TH AND 15TH TERM OF THE A AND B WHOSE 1ST TERM IS 6 AND COMMON DIFFERENCE IS 7
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Find the 6th and 15th terms of A.P if the first term is 6 and the common different is 7
To find the 6th and 15th terms of the arithmetic sequence, you can use the general formula for the nth term of an arithmetic sequence:
𝑎𝑛 = 𝑎₁ + (𝑛−1)𝑑
where:
𝑎𝑛 represents the nth term,
𝑎₁ represents the first term,
𝑑 represents the common difference, and
𝑛 represents the term position.
In this case, the first term (𝑎₁) is given as 6, and the common difference (𝑑) is given as 7.
To find the 6th term (𝑎₆), substitute 𝑎₁ = 6, 𝑑 = 7, and 𝑛 = 6 in the formula:
𝑎₆ = 6 + (6−1)×7
= 6 + 5×7
= 6 + 35
= 41
Therefore, the 6th term of the sequence is 41.
To find the 15th term (𝑎₁₅), substitute 𝑎₁ = 6, 𝑑 = 7, and 𝑛 = 15 in the formula:
𝑎₁₅ = 6 + (15−1)×7
= 6 + 14×7
= 6 + 98
= 104
Therefore, the 15th term of the sequence is 104.