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Answer:
The first three nonzero terms in the Maclaurin series is

Step-by-step explanation:
GIven that:

The Maclaurin series of cos x can be expressed as :


From equation(1), substituting x with (4x), Then:

The first three terms of cos (4x) is:



Multiplying equation (2) with (3); we have :




Finally , multiplying 5 with
; we have:
The first three nonzero terms in the Maclaurin series is

Answer:
x = -6
Step-by-step explanation:
3(x+4)-1=-7
Add 1 to each side
3(x+4)-1+1=-7+1
3(x+4)=-6
Divide by 3
3/3(x+4)=-6/3
x+4 = -2
Subtract 4 from each side
x+4-4 = -2-4
x = -6
The equation to find the nth term is:
an = a+(n-1)d
Where a is the first term in the sequence, which is 1 and d is the difference, which in this sequence the next term is found by adding 2 to the previous term, so d = 2 and n is the term you want to find.
The equation is:
an = 1 + (n-1)2
a24 = 1 + (24-1)2 = 1 + 23(2) = 1+46 = 47