A geometric pattern of triangle perimeters is 48, 24, 12, ... cm, where each triangle's perimeter is half the previous one. The pattern continues forever. What is the sum of all the perimeters (48 + 24 + 12 + ...)?

Question

Accepted Answer

96 cm. Infinite sum of a geometric pattern with first term 48 and ratio 1/2 = a/1-r = 481 - 1/2 = 481/2 = 96 cm.

A geometric pattern of triangle perimeters is 48, 24, 12, ... cm, where each triangle's perimeter is half the previous one.
The pattern continues forever. What is the sum of all the perimeters (48 + 24 + 12 + ...)?

Step-by-Step Solution

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More Class 10 Geometric Patterns practice

A geometric pattern of triangle perimeters is 48, 24, 12, ... cm, where each triangle's perimeter is half the previous one.The pattern continues forever. What is the sum of all the perimeters (48 + 24 + 12 + ...)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Geometric Patterns practice

A geometric pattern of triangle perimeters is 48, 24, 12, ... cm, where each triangle's perimeter is half the previous one.
The pattern continues forever. What is the sum of all the perimeters (48 + 24 + 12 + ...)?