Arithmetic Sequence and Series Problem Solving

Dr. Johnson is conducting an observation experiment to study the nightly motion of a star in a distant galaxy as seen through a telescope. He starts by tracking the star's position and notices that it appears to move 5 degrees across the night sky each night. After observing for 10 nights, how far, in degrees, did the star appear to move in view of the telescope?

What is the unknown quantity being asked in the problem?

Tags

CCSS.HSF.BF.A.2

Dr. Johnson is conducting an observation experiment to study the nightly motion of a star in a distant galaxy as seen through a telescope. He starts by tracking the star's position and notices that it appears to move 5 degrees across the night sky each night. After observing for 10 nights, how far, in degrees, did the star appear to move in view of the telescope?

What is the correct substitution of the given to the appropriate formula to answer the problem?

Tags

CCSS.HSF.BF.A.2

Dr. Johnson is conducting an observation experiment to study the nightly motion of a star in a distant galaxy as seen through a telescope. He starts by tracking the star's position and notices that it appears to move 5 degrees across the night sky each night. After observing for 10 nights, how far, in degrees, did the star appear to move in view of the telescope?

Tags

CCSS.6.EE.B.6

Juan is a farmer in the Philippines. He starts with one sack of rice, and during the harvest season, he adds one additional sack of rice to his stock each week. After a certain number of weeks, he will have accumulated a total of 36 sacks of rice. How many weeks does it take for Juan to reach this rice stock goal?

What is the unknown quantity in the problem?

Tags

CCSS.HSF.BF.A.2

Juan is a farmer in the Philippines. He starts with one sack of rice, and during the harvest season, he adds one additional sack of rice to his stock each week. After a certain number of weeks, he will have accumulated a total of 36 sacks of rice. How many weeks does it take for Juan to reach this rice stock goal?

What is the correct substitution of the given to the appropriate formula to answer the problem?

Tags

CCSS.HSF.BF.A.2

Juan is a farmer in the Philippines. He starts with one sack of rice, and during the harvest season, he adds one additional sack of rice to his stock each week. After a certain number of weeks, he will have accumulated a total of 36 sacks of rice. How many weeks does it take for Juan to reach this rice stock goal?

• 8 weeks

• 9 weeks

• 7 weeks

• 6 weeks

Tags

CCSS.HSF.BF.A.2

John is a dedicated student preparing for his teacher's board exam in the Philippines. He starts by studying for 2 hours on the first day. Each day, he increases his study time by a fixed number of hours, striving to build a consistent routine. After seven days of studying, he has accumulated a total of 35 hours. How many additional hours John added to his daily study time each passing day?

• 1 hour

• 2 hours

• 3 hours

• 4 hours

Tags

CCSS.HSF.BF.A.2

John is a dedicated student preparing for his teacher's board exam in the Philippines. He starts by studying for 2 hours on the first day. Each day, he increases his study time by a fixed number of hours, striving to build a consistent routine. After seven days of studying, he has accumulated a total of 35 hours. How many additional hours John added to his daily study time each passing day?

What is the unknown quantity asked in the problem?

Tags

CCSS.HSF.BF.A.2

John is a dedicated student preparing for his teacher's board exam in the Philippines. He starts by studying for 2 hours on the first day. Each day, he increases his study time by a fixed number of hours, striving to build a consistent routine. After seven days of studying, he has accumulated a total of 35 hours. How many additional hours John added to his daily study time each passing day?

What is the appropriate formula that should be used to solve for the unknown quantity?

Tags

CCSS.HSF.BF.A.2