Question

$\huge\bf\green{Numberseries}$
2, 2, 5, 15.5, ?, 267.125​

Answer 1

Answer:

58.25

Step-by-step explanation:

The series is × 0.5 + 1, × 1.5 + 2, × 2.5 + 3, × 3.5 + 4, × 4.5 + 5, × 5.5 + 6, ....

Series Pattern Series

2 × 0.5 + 1 2

2 × 1.5 + 2 5

5 × 2.5 + 3 15.5

15.5 × 3.5 + 4 58.25

58.25 × 4.5 + 5 267.125

Answer 2

Answer:

We should find the sequence of each terms in the given series.Then only we can find the missing number in the series.

Final Answer: Missing number: $58.25$

Step-by-step explanation:

From the given question,

Consider the first term $2$.

Step 1: Now the first term should multiply by 0.5.

                 first term × 0.5 $=2\times 0.5=1$

Step 2: That multiplication value(1) should add with 1.Then we can get the second term.That is,

                                 $1+1=2$   ⇒ Second term

Take the second term $2$.

Step 3: Now the second term should multiply by 1.5.

           second term × 1.5 $=2\times 1.5=3$

Step 4: That multiplication value(3) should add with 2.Then we can get the third term.That is,

                                 $3+2=5$   ⇒ Third term

Take the third term $5$.

Step 5: Now the third term should multiply by 2.5.

              third term × 2.5 $=5\times 2.5=12.5$

Step 6: That multiplication value(12.5) should add with 3.Then we can get the fourth term.That is,

                           $12.5+3=15.5$   ⇒ Fourth term

Take the fourth term $15.5$

Step 7: Now the fourth term should multiply by 3.5.

           fourth term × 3.5 $=15.5\times 3.5=54.25$

Step 8: That multiplication value(54.25) should add with 4.Then we can get the fifth term.That is,

                        $54.25+4=58.25$   ⇒ Fifth term and Missing term

Take the fifth term $58.25$

Step 9: Now the fifth term should multiply by 4.5.

             fifth term × 4.5 $=58.25\times 4.5=262.125$

Step 8: That multiplication value(262.125) should add with 5.Then we can get the sixth term.That is,

                        $262.125+5=267.125$   ⇒ Sixth term

Final Answer: Missing number: $58.25$