If common difference of A.P is -6, find a16 - a12.
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Answer:
-24
Step-by-step explanation:
Let a be the first term and d the common difference (so d = -6).
Then the n-th term is given by
aₙ = a + (n-1)d.
In particular, we have
a₁₆ = a + 15d
a₁₂ = a + 11d
So
a₁₆ - a₁₂ = ( a + 15d) - (a + 11d) = 4d = 4 × -6 = -24.
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