Bissoy.com
Doctors Medicines MCQs Q&A

According to principle of mathematical induction, if P(k+1) = m(k+1) + 5 is true then _____ must be true.

According to principle of mathematical induction, if P(k+1) = m(k+1) + 5 is true then _____ must be true. Correct Answer P(k) = m(k) + 5

By the principle of mathematical induction, if a statement is true for any number m = k, then for its successor m = k + 1, the statement also satisfies, provided the statement is true for m = 1. So, the required answer is p(k) = mk + 5.

Related Questions

Which of the statements about mathematical games is/are correct? (a) Mathematical games must be like open ended play.  (b) Mathematical games provide non-didactic feedback to the child.  (c) Mathematical games promote processes of anticipation and planning in child. 
In the following question, sentences of a paragraph have been jumbled and labelled as A, B, C and D. You are required to rearrange the jumbled sentences of the paragraph and mark your response accordingly by selecting the correct option. A: An induction motor can, therefore, be made without electrical connections to the rotor. B: Three-phase squirrel-cage induction motors are widely used as industrial drives because they are self-starting, reliable and economical. C: An induction motor's rotor can be either wound type or squirrel-cage type. D: An induction motor or asynchronous motor is an AC electric motor in which the electric current in the rotor needed to produce torque is obtained by electromagnetic induction from the magnetic field of the stator winding.
Which among the following statements is/are correct. a. Every mathematical concept gives rise to more mathematical concepts. b. Mathematical ideas grows from abstract to concrete. c. Mathematical ideas grows from particular to general.
Examine the following statements relating to induction and identify those which are either true or false.
1. Induction today is renamed as empolyee orientation programme.
2. It is also known by the term 'on boarding'.
3. It is for the purpose of socialising the new employees.
4. Informal induction is better than formal induction.
h,J,K,L,M,N and O are the only legislators eligible to vote on Bills 1,2 and 3, each of which will be passed if at least four legislators eligible vote in favor of it. each legislator must vote on all three bills; on abstentions are possible. The following is known : *H must vote against all three bills; each of the other legislators must vote in favor of at least one bill and against at lest one bill. *j must vote against Bills 1. *O Must vote against Bills 2 and 3. * L must the same way that K dose on all three bills.*N must vote the same way that O dose on all three bills. which of the following must vote in favor of Bill 1 ?
h,J,K,L,M,N and O are the only legislators eligible to vote on Bills 1,2 and 3, each of which will be passed if at least four legislators eligible vote in favor of it. each legislator must vote on all three bills; on abstentions are possible. The following is known : *H must vote against all three bills; each of the other legislators must vote in favor of at least one bill and against at lest one bill. *j must vote against Bills 1. *O Must vote against Bills 2 and 3. * L must the same way that K dose on all three bills.*N must vote the same way that O dose on all three bills. If any bill is to be passed,which of the following must be among the legislators who vote in favor of it?
Consider the following statement with reference to Popper's solution of the problem of induction, and mark the correct option.
1. There is no rationally justifiable method of induction.
2. There is no reliable method of induction.
3. There is a reliable method of induction.
Choose the correct answer:
If pK1 = 2.34 and pK2 = 9.60, then the isoelectric point pI is?
h,J,K,L,M,N and O are the only legislators eligible to vote on Bills 1,2 and 3, each of which will be passed if at least four legislators eligible vote in favor of it. each legislator must vote on all three bills; on abstentions are possible. The following is known : *H must vote against all three bills; each of the other legislators must vote in favor of at least one bill and against at lest one bill. *j must vote against Bills 1. *O Must vote against Bills 2 and 3. * L must the same way that K dose on all three bills.*N must vote the same way that O dose on all three bills. which of the following cannot be true ?
Which of the following statements is/are true regarding mathematical skills and competencies used by street vendors and shopkeepers? A) They are not useful to solve mathematical problem in class B) They are ambiguous and illogical C) They help in developing alternate strategies in solving mathematical problems