MAHARASHTRA

XII (12) HSC

XI (11) FYJC
X (10) SSC

### ARITHMETIC PROGRESSION AND GEOMETRIC PROGRESSION

1.       For each sequence, find the next four terms.
i.      2, 4, 6, 8 …
ii.      1, 4, 9, 16 …
2.       Find the first five terms of the following sequences whose nth terms are given.
i.      tn = 3n – 2
ii.      tn = n2 + n + 1
3.       Find the first three terms of the sequences for which Sn is given.
i.      Sn = ii. 4.       Which of the following list of number are Arithmetic Progressions? Why?
i.      1, 3, 6, 10 …
ii.      3, 5, 7, 9, 11………
5.       Write the first five terms of the A.P. given the first term a and the common difference d:
i. ii. 6.       How many terms are there in the A.P. 87, 94, 101, 108, ……… , 339?
7.       Find the common difference and the 11th terms of the A.P. if a = 100, and t20 = 176
8.       How many three digit natural numbers are divisible by 8.
9.       How many three digit natural numbers are divisible by 6?
10.    Find the sum of all natural numbers between 50 and 250 which are exactly divisible by 3.
11.    Find the sum of all even natural numbers from 1 to 150.
12.    Find three consecutive terms in an A.P. whose sum is 45 and their product is 3240,
13.    Find three consecutive terms in an A.P. whose sum is 12 and the sum of whose squares is 56.
14.    Find five consecutive terms in an A.P. such that the sum of the first three terms is 6 and the sum of the remaining two terms is 14.
15.    A manufacturer produced 650 items in the fourth year and 850 items in the eight year. The items produced increase by a fixed number every year. Find the items produced in the first year.
16.    Find the ninth term of the G.P. 3, 6, 12, 24 …
17.    Write down the first five terms of the geometric progression which has first term 1 and common ratio 4.
18.    Find the 4th and the 9th terms of the G.P. with first term 4 and common ratio 2.
19.    Find the common ratio and the 7th terms of the G.P. 2, -6, 18 …
20.    Find the 69th terms of the G.P. 1, -1, 1, -1 …
21.    Find the 15th term of the G.P. 3, 12, 48, 192 …
22.    Find the sum of the G.P. 2, 6, 18 …
23.    If the nth, (2n)th, (3n)th terms of the G.P. are a, b, c respectively then show that 24.    Find three number in G.P. such that the sum of the first two is 8 and their product is 216.
Find three numbers in G.P. such that the sum of the 2nd and the 3rd is 30 and their product is 1728.

## 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