To find the number of terms in the arithmetic progression (A.P.) 7, 10, 13, ..., 31, we can follow these steps:Step 1: Identify the first term and common difference The first term \( a \) of the A.P. is 7. The common difference
(i) Find the number of terms in the A.P. 8, 12, 16, ...124 (ii) Find the number of terms in the A.P. 75, 70, 65, ...15 View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions...
In this research thesis, we have analyzed and deepened further Ramanujan expressions (Rogers-Ramanujan continued fractions, Hardy-Ramanujan number and Manuscript Book 1 formulae) applied to some sectors of String Theory. We have therefore described other new possible mathematical connections....
The Reynolds Number is the ratio of the inertial and viscous forces of a fluid's flow: $$Re = \frac{inertial force}{viscous force} $$ The expressions for the two terms simplify into a ratio that provides the Reynolds number formula: $$Re = \frac{\rho vd}{\mu} $$ with each of ...
The question of substantiating the concept of natural number is rather recent. The concept is so familiar and simple that the need for its definition in terms of some simpler concepts never arose. It was only in the mid–19th century, under the influence of the development of the axiomatic ...
Also, the only terms in the first period that are congruent to -1 correspond to the indices 3, 5 and 13. This means that any index n for which M is equal to -1 must be of one of the following three forms (for some integer k): 1170 k + 3, 1170 k + 5, or 1170 k + 13....
in Chemistry and has taught many at many levels, including introductory and AP Chemistry. Here are some helpful hints to use when solving these types of problems. First, estimate. Are you going to have a very large number? Maybe a very small one? Also, always remind yourself that a mole...
56.James Arthur_ Beyond Endoscopy and elliptic terms in the trace formula 01:13:55 57.Fiona Murnaghan_ Tame relatively supercuspidal representations 01:08:59 Shou-Wu Zhang Congruent number problem and BSD conjecture 49:01 59.Wee Teck Gan_ Theta lifts of tempered representations and Langlands...
I have a simple spreadsheet for which I need a formula in cell AT3 to identify a date that appears next to a corresponding number. For example cell M3 is...
The formation of terms in arithmetic progression (AP) and its sum to n terms has been given in the Bakshali work. As an illustration of this, we will present an example found in the Bakshali work. Example “A person travels a‘yojanas’ in the first day and b‘yojanas’ more on ea...