two aps have the same common difference the difference between their 100th term is111 222 333 . what is their difference between their millionth terms?
Answers
Step-by-step explanation:
48. (c): In AAJD and AAGE, ZGAE - ZDAJ [Common]
ZAGE = ZAJD AAJD - AAGE [Each 90°)
[By AA similarity] AG GE = AJ JD
Given, BF BF FC 3
=
In ΔΒΓ and BIC
ZHBF = ZCBI ZBHF = ZBIC
ABHF - ABIC HF BH BE
2
..(i)
[Common] [Each 90° [By AA similarity]
..(ii)
ICBC 5 Now, in rectangles ABHG and ABI) corresponding
sides are parallel and internal angles are 90°.
AG BH
= AJ BI
From (i), (ii) and (iii), we get GE HF 2
JD IC » JD 5 GE 2 5. GE and IC = HF
Now, DC = DJ + JI+ IC
5
2
5
GE + AB + HF
2
ЗАВ
2AB = 4 (GE + HF) 2
5 AB = GE + HF Also, EF = EG + GH + HF
4 5 AB + AB = 9 5 AB
5EF = 9AB = 9 19 (4DC) -
Answer:
Step-by-step explanation:
Let the common difference be 'd 'and the first terms of two A.Ps be a1 & a2
100th term it 1st A.P - 100th term of 2nd A.P = 111222333
(a1+99d)-(a2+99d) = 111222333
a1+99d-a2-99d 111222333
(a1-a2) = 111222333
Difference between their millionth term
= (a1+99999d)-(a2+99999d)
= a1+99999d-a2-99999d
= a1-a2
= 111222333