Consider the sequences : 11, 19, 27,.......... and 50, 55, 60, ....... a) The two sequences have a common term. Find the position of the term? b) Write the term?
Answers
Answer:
Step-by-step explanation:
The 14th term is a common term.
Step-by-step explanation:
Consider the provided sequences.
The first sequence is 11, 19, 27...
The second sequence is 50, 55, 60...
The nth term of an A.P can be calculated as:
Where, is the nth term, a is the first term, n is the number of term and d is the common difference.
In the first sequence 11, 19, 27...
The first term is 11 and the common difference is: 19 - 11 = 8 or 27 - 19 = 8.
Now substitute the value of a and d in the above formula.
Similarly, In the second sequence 50, 55, 60...
The first term is 50 and the common difference is: 55 - 50 = 5 or 60 - 55 = 5.
Now substitute the value of a and d in the above formula.
It is given that there is a common term in both the sequence at the same term position. That means there exist a position "n" for which both the equation will produce same value of .
Therefore,