Questions

Solution

(1)The first term of an A.P is 6 and the common difference is 5. Find the A.P and its general term
 
(2) Find the common difference and 15 th term of an A.P 125 , 120 , 115 , 110 , ……….….
 
(3) Which term of the arithmetic sequence is 24 , 23 ¼ ,22 ½ , 21 ¾ , ………. Is 3?
 
(4) Find the 12th term of the A.P √2 , 3 √2 , 5 √2 , …………
 
(5) Find the 17th term of the A.P 4 , 9 , 14 ,…………
 
(6) How many terms are there in the following A.P
(i) 1,5/6,2/3,……………10/3
(ii) 7,13,19,……………205
 
(7) If 9th term of an A.P is zero, prove that its 29th term is double (twice) the 19th term
 
(8)The 10th and 18th terms of an A.P are 41 and 73 respectively. Find the 27th term
 
(9) Find n so that nth terms of the following two A.P's are the same.
1,7,13,19,.............. and 100,95,90,...........
 
(10) How many two digit numbers are divisible by 13?
 
(11) A TV manufacturer has produced 1000 TVs in the seventh year and 1450 TVs in the tenth year.Assuming that the production increases uniformly by a fixed number every year, find the number of TVs produced in the first and in the 15th year.
 
(12) A man has saved $640 during the first month,$720 in the second month and $800 in the third month. If he continues his savings in this sequence,what will be his savings in the 25th month?
 
(13) The sum of three consecutive terms in an A.P is 6 and their product is 120. Find the three numbers
 
(14) Find the three consecutive terms in an A.P whose sum id 18 and the sum of their squares is 140.
 
(15) If m times the m th term of an A.P is equal to n times the n th term, then show that the (m+n) th term of the A.P is zero.
 
(16) A person has deposited $25000 in an investment which yield 14% simple interest annually. Do these amounts (principal + interest) form an A.P? If so, determine the amount of investment after 20 years.
 
(17) If a , b , c are in A.P then prove that (ac)² = 4 (b²ac)
 
(18) If a ,b , c are in A.P then prove that (1/bc),(1/ca),(1/ab) are also in A.P
 
(19) If a²,b²,c² are in A.P then show that 1/(b+c),1/(c+a),1/(a+b) are also in A.P
 
(20) If a^x = b^y = c^z, x ≠ 0 , y ≠ 0 , z ≠ 0 and b² = ac then show that 1/x,1/y and 1/z are in A.P

ENGLISH WRITINGS: ESSAYS DIALOGUE EXPANSION SPEECH LETTERS GRAMMAR
MAHARASHTRA: 5TH 6TH 7TH 8TH 9TH 10TH 11TH 12TH New Time table
TAMILNADU: 8TH 9TH 10TH 11TH 12TH
CBSE: 12TH 10TH 9TH 8TH ICSEBOARD ISCBOARD
AP: 8TH 9TH 10TH GUJARAT: 10TH
WRITING SKILLS BOARD SOLUTIONS: 2019 2020 LEAFLET REPORT APPEAL INTERVIEW JEEMAIN HOME TIPSTOSTUDYSMART HOMIBHABHA JEEMAIN2019 NEET2019 NCERT PRIVACY DISCLAIMERArithmetic sequence worksheet : Exercise 2.1
PDF FILE TO YOUR EMAIL IMMEDIATELY PURCHASE NOTES & PAPER SOLUTION. @ Rs. 50/ each (GST extra)
SSC & HSC ENGLISH WRITING SKILL
HSC SECRETARIAL PRACTICE NOTES
2019 Board Paper Solution
HSC ENGLISH SET A 2019 21st February, 2019
HSC ENGLISH SET B 2019 21st February, 2019
HSC ENGLISH SET C 2019 21st February, 2019
HSC ENGLISH SET D 2019 21st February, 2019
SECRETARIAL PRACTICE (S.P) 2019 25th February, 2019
HSC XII PHYSICS 2019 25th February, 2019
CHEMISTRY XII HSC SOLUTION 27th, February, 2019
OCM PAPER SOLUTION 2019 27th, February, 2019
HSC MATHS PAPER SOLUTION COMMERCE, 2nd March, 2019
HSC MATHS PAPER SOLUTION SCIENCE 2nd, March, 2019
SSC ENGLISH STD 10 5TH MARCH, 2019.
HSC XII ACCOUNTS 2019 6th March, 2019
HSC XII BIOLOGY 2019 6TH March, 2019
HSC XII ECONOMICS 9Th March 2019
SSC Maths I March 2019 Solution 10th Standard11th, March, 2019
SSC MATHS II MARCH 2019 SOLUTION 10TH STD.13th March, 2019
SSC SCIENCE I MARCH 2019 SOLUTION 10TH STD. 15th March, 2019.
SSC SCIENCE II MARCH 2019 SOLUTION 10TH STD. 18th March, 2019.
SSC SOCIAL SCIENCE I MARCH 2019 SOLUTION20th March, 2019
SSC SOCIAL SCIENCE II MARCH 2019 SOLUTION, 22nd March, 2019
XII CBSE  BOARD  MARCH  2019 ENGLISH  QP + SOLUTIONS, 2nd March, 2019
HSC Maharashtra Board Papers 2020
(Std 12th English Medium)
SSC Maharashtra Board Papers 2020
(Std 10th English Medium)
Mathematics (Paper 1) MARCH 2020
Mathematics (Paper 2) MARCH 2020
Sanskrit (Composite) MARCH 2020
MUST REMEMBER THINGS on the day of Exam
Are you prepared? for English Grammar in Board Exam.
Paper Presentation In Board Exam
How to Score Good Marks in SSC Board Exams
Tips To Score More Than 90% Marks In 12th Board Exam
How to prepare for board exam when less time is left
How to memorise what you learn for board exam
No. 1 Simple Hack, you can try out, in preparing for Board Exam
How to Study for CBSE Class 10 Board Exams Subject Wise Tips?
JEE Main 2020 Registration Process – Exam Pattern & Important Dates
NEET UG 2020 Registration Process Exam Pattern & Important Dates
How can One Prepare for two Competitive Exams at the same time?
8 Proven Tips to Handle Anxiety before Exams!
S.P. Important Questions For Board Exam 2021
O.C.M. Important Questions for Board Exam. 2021
Economics Important Questions for Board Exam 2021
Chemistry Important Question Bank for board exam 2021
Physics – Section I Important Question Bank for Maharashtra Board HSC Examination
Physics – Section II – Science Important Question Bank for Maharashtra Board HSC 2021 Examination