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1 answer:
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Answer:
The first 3 terms in the expansion of , in ascending power of x are,
coefficient of in the expansion of
= (240 - 192) = 48
Step-by-step explanation:
=
= + terms involving higher powers of x
= + terms involving higher powers of x
so, the first 3 terms in the expansion of , in ascending power of x are,
Again,
=
Now, by inspection,
the term comes from k =5 and k = 6
for k = 5, the coefficient of is ,
= -192
for k = 6 , the coefficient of is,
= 240
so, coefficient of in the final expression = (240 - 192) = 48
Answer:
= 20n + 12
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 52 - 32 = 72 - 52 = 92 - 72 = 20
This indicates the sequence is arithmetic with explicit formula
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 32 and d = 20, thus
= 32 + 20(n - 1) = 32 + 20n - 20 = 20n + 12