Question

1. Let the sequence be 1, 3, 5, 7, 9……… then this sequence is ____________ a) An arithmetic sequence b) A geometric progression c) A harmonic sequence d) None of the mentioned

Answer 1

Answer:

an arithmetic sequence

Answer 2

Answer:

The sequence  1, 3, 5, 7, 9… is an Arithmetic sequence.

Step-by-step explanation:

• Arithmetic progression is defined as progression in which every term after the first is obtained by adding a constant value, called the common difference.
• The sequence is $a,a+d,a+2d,a+3d,a+4d, .....$ where a is the first term and d is a common difference.
• The given sequence has the first term 1. Thus a=1
• To check the common difference subtract the subsequent term by the previous term.

1.    $3-1=2$
2.    $5-3=2$
3.    $7-5=2$
4.    $9-7=2$

• Hence the difference is the same for all the terms. hence the common difference is 2.
• Therefore, the Sequence is an AP