Question

Radha says that 1,1,1,....'are in ap and also in gp. Do u agree with her give reason

Answer 1

Answer:

yes

Step-by-step explanation:

1,1,1..... is a GP with common ratio 1.

1,(1×1),(1×1×1),....

1,1,1... is AP with common difference 0.

1, 1+0, 1+(2×0), .....

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Answer 2

$\mathcal{I\ AGREE\ WITH\ THE\ STATEMENT\ !!!}$

→ About arithmetic progression...

⇒ AN ARITHMETIC PROGRESSION IS A SEQUENCE IN WHICH EACH CONSECUTIVE TERMS ARE ADDED UP BY A CONSTANT.

→ About geometric progression...

⇒ A GEOMETRIC PROGRESSION IS A SEQUENCE IN WHICH EACH CONSECUTIVE TERMS ARE MULTIPLIED UP BY A CONSTANT.

Consider the given progression 1, 1, 1, 1,...

→→ As each consecutive terms are added up only by 0, it can be said an AP! ←←

→→As each consecutive terms are multiplied up only by 1, it can be said a GP! ←←

$\textsf{Thus Radha's reason is agreed!!!}$

$\textit{More Information...}$

→→ When 1, 1, 1,... is written as 1/1, 1/1, 1/1,... it can be said an HP! ←←

→ About harmonic progression...

⇒ A HARMONIC PROGRESSION IS A SEQUENCE OBTAINED BY TAKING THE RECIPROCALS OF EACH TERMS OF AN ARITHMETIC PROGRESSION.