using-the-equation-of-the-nth-term-of-the-sequence-evaluate-a2-a1-a3-a2-a4-a3-an

Question

Using the equation of the nth term of the sequence, evaluate a_{2}/a_{1}, a_{3}/a_{2}, a_{4}/a_{3} and a_{5}/a_{4}: a_{n} = $$5(7)^{n}.$$What do you notice?

Accepted Answer

a_{2}/a_{1} = a_{3}/a_{2} = a_{4}/a_{3} = a_{5}/a_{4} = 7; The ratio of the term to the term that comes before it is always 7.

Answer

a_{2}/a_{1} = 7; a_{3}/a_{2} = -7; a_{4}/a_{3} = 7; a_{5}/a_{4} = -7; The ratio of the term to the term that comes before it is 7, with alternating signs.

Answer

a_{2}/a_{1} = a_{3}/a_{2} = a_{4}/a_{3} = a_{5}/a_{4} = 5; The ratio of the term to the term that comes before it is always 5.

Answer

a_{2}/a_{1} = 5; a_{3}/a_{2} = -5; a_{4}/a_{3} = 5; a_{5}/a_{4} = -5; The ratio of the term to the term that comes before it is 5, with alternating signs.

Using the equation of the nth term of the sequence, evaluate a2/a1, a3/a2, a4/a3 and a5/a4: an = 5(7)n.What do you notice?

Using the equation of the nth term of the sequence, evaluate a₂/a₁, a₃/a₂, a₄/a₃ and a₅/a₄: a_n = 5(7)ⁿ.
What do you notice?