Every 7 years the Lancaster family has a family reunion. Every 6 years they update their family tree. If they both had a photo taken and updated their family tree in 1997, in what year will both events occur again?

In year 2039 both the events will happen again.                    

Step-by-step explanation:

We are given the following in the question:

Family reunion:

Every 7 year

Update the family tree:

Every 6 years

1997 was the year when they had a family reunion as well as they updated their family tree.

We have to find the year in which both the events will occur together.

We find the lowest common multiple of 7 and 6.

Thus, after 42 years both the event will happen again.

Year:

Thus, in year 2039 both the events will happen again.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

false

step-by-step explanation: