philosphy111of
2021-11-16
Jeffrey Parrish
Beginner2021-11-17Added 15 answers
Step 1
Q.1 (a) Given sequence 81, 75, 69,.....
Aseries or sequence in which common difference of two consecutive terms are equal is called an arithmetic series or sequence.
Common Difference,
Since, the common difference between two consecutive terms of the given sequence is same, therefore, this sequence is an Arithmetic Progession.
The general term of an arithmetic sequence is written in terms of its first term a_{1}, common difference d and index n as follows,
Step2
Q.1 (b) Given sequence 2187, 729, 243,......
A series or sequence in which common ratio of two consecutive terms are equal is called an arithmetic series or sequence.
Common Ratio,
Since, the common ratio between two consecutive terms of the given sequence is same, therefore, this sequence is a Geometric Progession.
The general term of a geometric sequence is written in terms of its first term
Step3
Q.2Given,
First four terms of the sequence can be determined by putting the value of n as 1, 2, 3 and 4, Therefore,
Jeffrey Jordon
Expert2022-08-30Added 2605 answers
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