C-13-Q095mediumsingle_mcq

A geometric series with first term $a$ and common ratio $r$ is —

a $a + (a + r) + (a + 2r) + \cdots$
b $a + ar + ar^{2} + ar^{3} + \cdots$
c $a + a^{2} + a^{3} + \cdots$
d $r + ra + ra^{2} + \cdots$

ব্যাখ্যা

In a geometric series each term is the previous term multiplied by $r$ , giving $a + ar + ar^2 + ar^3 + \cdots$ . The exponent of $r$ increases by one with each successive term.

এই অধ্যায়ের আরও প্রশ্ন

C-13-Q096The common ratio of is —
C-13-Q097The common ratio of is —
C-13-Q098The common ratio of is —
C-13-Q099The common ratio of is —
C-13-Q100The common ratio of is —
C-13-Q101The -th term of a geometric series with first term and common ratio is —
C-13-Q102The th term of is —
C-13-Q103The general term of is —
C-13-Q104The first and second terms of a geometric series are and . The common ratio is —
C-13-Q105With first term and common ratio , the fifth term is —

Finite Series — সব প্রশ্ন দেখুন (160টি) →

A geometric series with first term $a$ and common ratio $r$ is —

a + (a + r) + (a + 2r) + \cdots

a + ar + ar^{2} + ar^{3} + \cdots

a + a^{2} + a^{3} + \cdots

r + ra + ra^{2} + \cdots

ব্যাখ্যা

In a geometric series each term is the previous term multiplied by $r$ , giving $a + ar + ar^2 + ar^3 + \cdots$ . The exponent of $r$ increases by one with each successive term.

A geometric series with first term aaa and common ratio rrr is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

A geometric series with first term aaa and common ratio rrr is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

A geometric series with first term $a$ and common ratio $r$ is —

A geometric series with first term $a$ and common ratio $r$ is —