MAHARASHTRA

XII (12) HSC

XI (11) FYJC
X (10) SSC

### Arithmetic sequence worksheet : Exercise 2.1

Arithmetic sequence worksheet :
Exercise 2.1

 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 (a-c)² = 4 (b²-ac) (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
1. 6 , 11 , 16 , …………..
2. -225
3. n =29
4. 23 √2
5. 84
6. (i)  n = 27   (ii) n = 34
7. Proved
8. a = 5 d = 4   t27 = 109
9. n = 11
10.    n = 7
11.    2200
12.    2560
13.    -6 , 2 , 10 or 10,2,-6
14.    2,6,10 or 10,6,2
15.    hence proved

16.    95000

## PDF FILE TO YOUR EMAIL IMMEDIATELY PURCHASE NOTES & PAPER SOLUTION. @ Rs. 50/- each (GST extra)

SUBJECTS

HINDI ENTIRE PAPER SOLUTION

MARATHI PAPER SOLUTION
SSC MATHS I PAPER SOLUTION
SSC MATHS II PAPER SOLUTION
SSC SCIENCE I PAPER SOLUTION
SSC SCIENCE II PAPER SOLUTION
SSC ENGLISH PAPER SOLUTION
SSC & HSC ENGLISH WRITING SKILL
HSC ACCOUNTS NOTES
HSC OCM NOTES
HSC ECONOMICS NOTES
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)

HSC ECONOMICS MARCH 2020

HSC OCM MARCH 2020

HSC ACCOUNTS MARCH 2020

HSC S.P. MARCH 2020

HSC ENGLISH MARCH 2020

HSC HINDI MARCH 2020

HSC MARATHI MARCH 2020

HSC MATHS MARCH 2020

SSC Maharashtra Board Papers 2020

(Std 10th English Medium)

English MARCH 2020

HindI MARCH 2020

Hindi (Composite) MARCH 2020

Marathi MARCH 2020

Mathematics (Paper 1) MARCH 2020

Mathematics (Paper 2) MARCH 2020

Sanskrit MARCH 2020

Important-formula

THANKS