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1. Write the first four terms of the sequence whose general term is given.
an = 7n – 4


2. Write a formula for the general term (the nth term) of each geometric sequence. Then use the formula for an to find the eighth term of the sequence.
1, 2, 4, 8, …

Respuesta :

JoshEast
a₁ = 7(1) - 4
a₂ = 7(2) -4
a₃ = 7(3) - 4
a₄ = 7(4) - 4

Thus the four first term of the sequence are 3, 10, 17, 24

[tex] X_{n} = a r ^{(n-1)} [/tex]  where a is the first term 1, r is the common ratio 2, and n is the nth term of the sequence.


[tex] X_{8} = (1) 2 ^{(8-1)} [/tex] 
                 = 2⁷
                 = 128
Thus the eighth term of the sequence is 128

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