Question

Building Blocks A child places $n$ cubic building blocks in a row to form the base of a triangular design (see figure). Each successive row contains two fewer blocks than the preceding row. Find a formula for the number of blocks used in the design. (Hint: The number of building blocks in the design depends on whether $n$ is odd or even.)

Name: building blocks a child places n cubic building blocks in a row to form the base of a triangular design see figure each successive row contains two fewer blocks than the preceding row find a formula f
Uploaded: 2022-12-08T20:58:27-08:00
Duration: 2 min 2 s
Channel: Lainey Roebuck
Description: building blocks a child places n cubic building blocks in a row to form the base of a triangular design see figure each successive row contains two fewer blocks than the preceding row find a formula f

          Building Blocks A child places $n$ cubic building blocks in a row to form the base of a triangular design (see figure). Each successive row contains two fewer blocks than the preceding row. Find a formula for the number of blocks used in the design. (Hint: The number of building blocks in the design depends on whether $n$ is odd or even.)

Added by Gerald B.

Calculus Early Transcendental Functions

Ron Larson, Bruce Edwards 6th Edition

Chapter 5

Instant Answer

Solved by Expert Lainey Roebuck

12/08/2022

Step 1

In this case, the number of blocks in each row can be represented by the sequence $n, n-2, n-4, ..., 2$. This is an arithmetic sequence with a common difference of $2$. The total number of blocks used in the design can be found by summing the terms of this Show more…

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Building Blocks A child places $n$ cubic building blocks in a row to form the base of a triangular design (see figure). Each successive row contains two fewer blocks than the preceding row. Find a formula for the number of blocks used in the design. (Hint: The number of building blocks in the design depends on whether $n$ is odd or even.)