Mathematics: Construct a geometric and arithmetric sequence which has a first term a and common difference d with 1000terms. calculate the sum of first 100 terms

Construct a geometric and arithmetric sequence - id2048884, BaileyElizabethRay

Ответ:

yourmumsanoodle

01.01.2022

Geometric:

$a_n=Da_{n-1}=D^2a_{n-2}=\cdots=D^{n-1}a_1=D^{n-1}A$

The sum of the first 100 terms is

$\displaystyle\sum_{n=1}^{100}D^{n-1}A=A\dfrac{1-D^100}{1-D}$

Arithmetic:

$a_n=a_{n-1}+D=a_{n-2}+2D=\cdots=a_1+(n-1)D=A+(n-1)D$

The sum of the first 100 terms is

$\displaystyle\sum_{n=1}^{100}(A+(n-1)D)=100A+\dfrac{99\times100}2D=100A+4950D$

0,0(0 оценок)

Ответ:

antoninapride

31.05.2021

Mathematics

If you notice, the angle tyler is standing at is a right-angle, the peak is at a right-angle with the ground as well.the mirror on the ground makes an angle to tyler's top, congruent to the angle to the peak's top.both triangles are similar by aa.

0,0(0 оценок)

Construct a geometric and arithmetric sequence which has a first term a and common difference d with 1000terms. calculate the sum of first 100 terms

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question