A sequence is defined by an = -5+ (n - 1) 14, where n is a positive integer. What is the value of 410?
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The sequence an = -5 + (n - 1)14 is an arithmetic sequence
The value of a10 is 121
How to determine the the a10-th term?
The sequence is given as:
an = -5 + (n - 1)14
To calculate the value of a10, we set n = 10
So, we have:
a10 = -5 + (10 - 1) * 14
Evaluate the difference
a10 = -5 + 9 * 14
Evaluate the product
a10 = -5 + 126
Evaluate the sum
a10 = 121
Hence, the value of a10 is 121
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