Question

Find the 12th term of the ap 3,7,11,15..........

Answer 1

Answer:

$a12 = 3 + (n - 1)d$

$a12 = 3 + 11 \times 4$

$a12 = 3 + 44$

$a12 = 47$

Answer 2

Answer:

The 12th term of the given arithmetic progression is 47.

Step-by-step explanation:

The given sequence is an arithmetic progression with a common difference of 4. The first term is 3, and we need to find the 12th term.

To find the 12th term, we can use the formula for the nth term of an arithmetic progression:

nth term = a + (n - 1) * d

where a is the first term, d is the common difference, and n is the term number we want to find.

Substituting the given values, we get:

12th term = 3 + (12 - 1) * 4

= 3 + 44

= 47

Therefore, the 12th term of the given arithmetic progression is 47.

Alternatively, we could find the common difference of the sequence by subtracting the second term from the first term (7-3 = 4) and then adding that difference to the 11th term (15 + 4 = 19) to get the 12th term of 19. However, using the formula for the nth term is a more direct method.

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