# The sum of the rational terms of (2 1 5 + √ 3 ) 20 is A) 71 B) 85 C) 97 D) none of

The sum of the rational terms of (2
1
5
+

3
)
20
is A) 71 B) 85 C) 97 D) none of these 19. For

### 1 thought on “The sum of the rational terms of (2<br /> 1<br /> 5<br /> +<br /> √<br /> 3<br /> )<br /> 20<br /> is A) 71 B) 85 C) 97 D) none of”

1. he ﬁrst two terms are any positive whole numbers.

• Each of the remaining terms is the sum of the digits of the previous

two terms.

For example, starting with 5 and 8 the Diginacci sequence is

5, 8, 13, 12, 7, 10,. . .

The calculations for this example are

5 + 8 = 13, 8 + 1 + 3 = 12, 1+ 3 +1+ 2 = 7, 1 + 2 + 7 = 10.

a) List the ﬁrst 26 terms of the Diginacci sequence above.

b) Find, with explanation, two starting terms for a Diginacci sequence

so that its 2021st term is 11.

c) Find, with explanation, a Diginacci sequence that has no term equal

to 11.

d) Find, with explanation, a sequence with two diﬀerent starting terms

which contains ﬁve consecutive terms that are even and not all identical

_2

Step-by-step explanation:

Step-by-step explanation:

he ﬁrst two terms are any positive whole numbers.

• Each of the remaining terms is the sum of the digits of the previous

two terms.

For example, starting with 5 and 8 the Diginacci sequence is

5, 8, 13, 12, 7, 10,. . .

The calculations for this example are

5 + 8 = 13, 8 + 1 + 3 = 12, 1+ 3 +1+ 2 = 7, 1 + 2 + 7 = 10.

a) List the ﬁrst 26 terms of the Diginacci sequence above.

b) Find, with explanation, two starting terms for a Diginacci sequence

so that its 2021st term is 11.

c) Find, with explanation, a Diginacci sequence that has no term equal

to 11.

d) Find, with explanation, a sequence with two diﬀerent starting terms

which contains ﬁve consecutive terms that are even and not all identical

_2

Step-by-step explanation:

﻿he ﬁrst two terms are any positive whole numbers.

• Each of the remaining terms is the sum of the digits of the previous

two terms.

For example, starting with 5 and 8 the Diginacci sequence is

5, 8, 13, 12, 7, 10,. . .

The calculations for this example are

5 + 8 = 13, 8 + 1 + 3 = 12, 1+ 3 +1+ 2 = 7, 1 + 2 + 7 = 10.

a) List the ﬁrst 26 terms of the Diginacci sequence above.

b) Find, with explanation, two starting terms for a Diginacci sequence

so that its 2021st term is 11.

c) Find, with explanation, a Diginacci sequence that has no term equal

to 11.

d) Find, with explanation, a sequence with two diﬀerent starting terms

which contains ﬁve consecutive terms that are even and not all identical