Question

insert missing number 164 286 225 224 476 ???

Answer 1

Answer: 350

Step-by-step explanation:

164 + 286 = 450 /2 = 225

224 + 476 = 700 /2 = 350

Answer 2

The missing term in the given sequence logic is 350.

Logic in the Sequence :

The third term i.e. 225 is the average of its two preceding terms i.e. first term 164 and the second term 286. Similarly, the sixth term will be the average of its preceding two terms i.e. fourth and fifth terms.

The third term is the average of the first and second terms:

Average of first two terms $=(x_{1} +x_{2})/2$

                                           $= ( 164+282)/2$

                                           $= 450/2$

                                           $=225$

                                           $=x_{3}$ ( the third term )

The sixth term i.e. the one to find will be the average of the fourth and fifth terms accordingly:

Average of fourth and fifth terms $=(x_{4} +x_{5})/2$

                                                       $= ( 224+476)/2$

                                                       $= 700/2$

                                                       $=350$

                                                       $=x_{6}$ ( the sixth term )

Hence, the sixth i.e. missing term in the sequence is 350.

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