Answer:
12th term = -61
Explanation:
Given sequence,
→ 5, -1, -7, ...
Now we have to,
→ Find the 12th term of the sequence.
The common difference is,
→ d = a2 - a1
→ d = -1 - 5
→ [ d = -6 ]
Formula we use,
→ an = a1 + (n - 1)d
Then value of 12th term will be,
→ an = a1 + (n - 1)d
→ a12 = 5 + (12 - 1) × (-6)
→ a12 = 5 + 11 × (-6)
→ a12 = 5 - 66
→ [ a12 = -61 ]
Therefore, the 12th term is -61.