8.Sequence and Series Quiz

What is the series associated with a given sequence a1, a2, a3, ..., an?

• a1 / a2 / a3 /,.../ an

• a1 - a2 - a3 -,...- an

• a1 * a2 * a3 *,...* an

• a1 + a2 + a3 +,...+ an

When is a sequence called infinite?

• When it has an increasing number of terms

• When it has a decreasing number of terms

• When it has an infinite number of terms

• When it has a finite number of terms

What is the sum to n terms of a Geometric Progression?

• S_n = a + ar + ar^2 + ar^3 + ...+ ar^(n-1)

• S_n = a * ar * ar^2 * ar^3 * ...* ar^(n-1)

• S_n = a - ar - ar^2 - ar^3 - ...- ar^(n-1)

• S_n = a / ar / ar^2 / ar^3 / .../ ar^(n-1)

What is the general term of a Geometric Progression?

• a

• ar^3

• ar^2

• ar

What is the Geometric Mean of any two positive numbers a and b?

• a / b

• a - b

• a + b

• √ab

What is the formula for the sum to n terms of a Geometric Progression?

• S_n = a + ar + ar^2 + ar^3 + ...+ ar^(n-1)

• S_n = a * ar * ar^2 * ar^3 * ...* ar^(n-1)

• S_n = a - ar - ar^2 - ar^3 - ...- ar^(n-1)

• S_n = a / ar / ar^2 / ar^3 / .../ ar^(n-1)

What is the expression for the series associated with a given sequence?

• a1 * a2 * a3 *,...* an

• a1 - a2 - a3 -,...- an

• a1 / a2 / a3 /,.../ an

• a1 + a2 + a3 +,...+ an

What is the Geometric Mean of any two positive numbers a and b?

• a - b

• a + b

• √ab

• a / b

What is the sum to n terms of a Geometric Progression?

• S_n = a / ar / ar^2 / ar^3 / .../ ar^(n-1)

• S_n = a - ar - ar^2 - ar^3 - ...- ar^(n-1)

• S_n = a * ar * ar^2 * ar^3 * ...* ar^(n-1)

• S_n = a + ar + ar^2 + ar^3 + ...+ ar^(n-1)

What is the general term of a Geometric Progression?

• ar^3

• ar^2

• ar

• a