Use the Summation Properties to Evaluate the Series - $$\sum _ { i = 1 } ^ { 4 } \left( 4 i ^ { 2 } + 3 i - 1 \right)$$

question 541

Multiple Choice

Use the summation properties to evaluate the series. The following rules may be needed: $$\sum _ { i = 1 } ^ { n } i = \frac { n ( n + 1 ) } { 2 } ; \quad \sum _ { i = 1 } ^ { n } i ^ { 2 } = \frac { n ( n + 1 ) ( 2 n + 1 ) } { 6 } ; \quad \sum _ { i = 1 } ^ { n } i ^ { 3 } = \frac { n ^ { 2 } ( n + 1 ) ^ { 2 } } { 4 }$$
- $$\sum _ { i = 1 } ^ { 4 } \left( 4 i ^ { 2 } + 3 i - 1 \right)$$

• A) 146
• B) 149
• C) 154
• D) 126

Recognize the building blocks of macromolecules such as proteins, lipids, and carbohydrates.

Comprehend the role of enzymes in the digestion process and the factors affecting enzyme activity.

Distinguish between the processes and locations of chemical digestion for different macromolecules.

Explain the regulation of digestive enzyme activity and the role of conditions such as temperature and pH.

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