Find the First Term and the Common Difference for the Arithmetic

question 138

Multiple Choice

Find the first term and the common difference for the arithmetic sequence. Round approximations to the nearest
hundredth.
- $a _ { 23 } = 364 , a _ { 89 } = 1420$

• A) \(\mathrm { a } _ { 1 } = 1056 , \mathrm {~d} = 12\)
• B) \(\mathrm { a } _ { 1 } = 12 , \mathrm {~d} = 1056\)
• C) \(\mathrm { a } _ { 1 } = 1056 , \mathrm {~d} = 16\)
• D) \(\mathrm { a } _ { 1 } = 12 , \mathrm {~d} = 16\)

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Definitions:

Sand and Gravel

Loose granular materials consisting of rock fragments. Sand particles are smaller than gravel particles.

Groundwater Flow

The movement of water through the pore spaces and fractures in underground soil and rock layers.

Subsidence

The gradual sinking of the ground's surface, which can occur due to natural processes like the compacting of sediment or human activities such as groundwater extraction.

Gradient

A measure of how one quantity changes or varies over distance or another quantity, often expressed as a slope or rate of incline.