Question

an=3n-2 with 4 terms

Answer 1

Step-by-step explanation:

a1=3-2=1

a2=(3*2)-2=6-2=4

a3=(3*3)-2=9-2=7

a4=(3*4)-2=12-2=10

Answer 2

CORRECT QUESTION :-

• Write the 4 terms of the sequences whose nth term are: an = 3n + 2

GIVEN :-

• sequence of Ap is 3n + 2

TO FIND :-

• write 4 terms of Ap with given sequence

SOLUTION :-

given sequence whose $\rm{a _{n} = 3n \: + \: 2}$

to get any 4 terms of Ap we will put 1 , 2 , 3 , 4 in place of n in sequence

( we can put any 4 numbers )

$\implies\rm{a _{1} = 3(1) \: + \: 2 = 5}$

$\implies\rm{a _{2} = 3(2) \: + \: 2 =8}$

$\implies\rm{a _{3} = 3(3) \: + \: 2 = 11}$

$\implies\rm{a _{4} = 3(4) \: + \: 2 = 14}$

hence first or any 4 terms of sequence 3n + 2 is ,

$\implies \boxed{ \boxed{ \rm{ \: \: 5, 8, 11, 14 }}}$

OTHER INFORMATION :-

Sequences, Series and Progressions

• A sequence is a finite or infinite list of numbers following a certain pattern. For example: 1, 2, 3, 4, 5… is the sequence, which is infinite.sequence of natural numbers.

• A series is the sum of the elements in the corresponding sequence. For example: 1+2+3+4+5….is the series of natural numbers. Each number in a sequence or a series is called a term.

• A progression is a sequence in which the general term can be can be expressed using a mathematical formula.

Arithmetic Progression

• An arithmetic progression (A.P) is a progression in which the difference between two consecutive terms is constant.

• Example: 2, 5, 8, 11, 14…. is an arithmetic progression.